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Finding the Third Proportional to 314,655 and 471,891

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Solution

The third proportional to 314,655 and 471,891 is: 707,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,655 : 471,891 = 471,891 : x
  2. Step 2: Convert to fraction form
    314,655/471,891 = 471,891/x
  3. Step 3: Cross multiply
    314,655x = 471,891 × 471,891
  4. Step 4: Simplify right side
    314,655x = 222,681,115,881
  5. Step 5: Solve for x
    x = 222,681,115,881/314,655
  6. Step 6: Final answer
    x = 707,699.28

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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.