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Finding the Third Proportional to 316,697 and 475,461

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Solution

The third proportional to 316,697 and 475,461 is: 713,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,697 : 475,461 = 475,461 : x
  2. Step 2: Convert to fraction form
    316,697/475,461 = 475,461/x
  3. Step 3: Cross multiply
    316,697x = 475,461 × 475,461
  4. Step 4: Simplify right side
    316,697x = 226,063,162,521
  5. Step 5: Solve for x
    x = 226,063,162,521/316,697
  6. Step 6: Final answer
    x = 713,815.30

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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.