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Finding the Third Proportional to 314,671 and 471,897

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Solution

The third proportional to 314,671 and 471,897 is: 707,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,671 : 471,897 = 471,897 : x
  2. Step 2: Convert to fraction form
    314,671/471,897 = 471,897/x
  3. Step 3: Cross multiply
    314,671x = 471,897 × 471,897
  4. Step 4: Simplify right side
    314,671x = 222,686,778,609
  5. Step 5: Solve for x
    x = 222,686,778,609/314,671
  6. Step 6: Final answer
    x = 707,681.29

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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.