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Finding the Third Proportional to 338,592.75 and 705,210

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Solution

The third proportional to 338,592.75 and 705,210 is: 1,468,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,592.75 : 705,210 = 705,210 : x
  2. Step 2: Convert to fraction form
    338,592.75/705,210 = 705,210/x
  3. Step 3: Cross multiply
    338,592.75x = 705,210 × 705,210
  4. Step 4: Simplify right side
    338,592.75x = 497,321,144,100
  5. Step 5: Solve for x
    x = 497,321,144,100/338,592.75
  6. Step 6: Final answer
    x = 1,468,788.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.