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Finding the Third Proportional to 316,672 and 473,427

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Solution

The third proportional to 316,672 and 473,427 is: 707,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,672 : 473,427 = 473,427 : x
  2. Step 2: Convert to fraction form
    316,672/473,427 = 473,427/x
  3. Step 3: Cross multiply
    316,672x = 473,427 × 473,427
  4. Step 4: Simplify right side
    316,672x = 224,133,124,329
  5. Step 5: Solve for x
    x = 224,133,124,329/316,672
  6. Step 6: Final answer
    x = 707,776.89

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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.