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Finding the Third Proportional to 316,670 and 473,424

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Solution

The third proportional to 316,670 and 473,424 is: 707,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,670 : 473,424 = 473,424 : x
  2. Step 2: Convert to fraction form
    316,670/473,424 = 473,424/x
  3. Step 3: Cross multiply
    316,670x = 473,424 × 473,424
  4. Step 4: Simplify right side
    316,670x = 224,130,283,776
  5. Step 5: Solve for x
    x = 224,130,283,776/316,670
  6. Step 6: Final answer
    x = 707,772.39

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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.