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Finding the Third Proportional to 316,662 and 473,412

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Solution

The third proportional to 316,662 and 473,412 is: 707,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,662 : 473,412 = 473,412 : x
  2. Step 2: Convert to fraction form
    316,662/473,412 = 473,412/x
  3. Step 3: Cross multiply
    316,662x = 473,412 × 473,412
  4. Step 4: Simplify right side
    316,662x = 224,118,921,744
  5. Step 5: Solve for x
    x = 224,118,921,744/316,662
  6. Step 6: Final answer
    x = 707,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.