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Finding the Third Proportional to 343,419 and 745,922

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Solution

The third proportional to 343,419 and 745,922 is: 1,620,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,419 : 745,922 = 745,922 : x
  2. Step 2: Convert to fraction form
    343,419/745,922 = 745,922/x
  3. Step 3: Cross multiply
    343,419x = 745,922 × 745,922
  4. Step 4: Simplify right side
    343,419x = 556,399,630,084
  5. Step 5: Solve for x
    x = 556,399,630,084/343,419
  6. Step 6: Final answer
    x = 1,620,177.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.