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Finding the Third Proportional to 341,288,383.50 and 745,768,417.50

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Solution

The third proportional to 341,288,383.50 and 745,768,417.50 is: 1,629,620,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,288,383.50 : 745,768,417.50 = 745,768,417.50 : x
  2. Step 2: Convert to fraction form
    341,288,383.50/745,768,417.50 = 745,768,417.50/x
  3. Step 3: Cross multiply
    341,288,383.50x = 745,768,417.50 × 745,768,417.50
  4. Step 4: Simplify right side
    341,288,383.50x = 556,170,532,540,454,336
  5. Step 5: Solve for x
    x = 556,170,532,540,454,336/341,288,383.50
  6. Step 6: Final answer
    x = 1,629,620,460.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.