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Finding the Third Proportional to 313,332 and 477,354

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Solution

The third proportional to 313,332 and 477,354 is: 727,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,332 : 477,354 = 477,354 : x
  2. Step 2: Convert to fraction form
    313,332/477,354 = 477,354/x
  3. Step 3: Cross multiply
    313,332x = 477,354 × 477,354
  4. Step 4: Simplify right side
    313,332x = 227,866,841,316
  5. Step 5: Solve for x
    x = 227,866,841,316/313,332
  6. Step 6: Final answer
    x = 727,237.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.