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Finding the Third Proportional to 314,444 and 471,882

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Solution

The third proportional to 314,444 and 471,882 is: 708,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,444 : 471,882 = 471,882 : x
  2. Step 2: Convert to fraction form
    314,444/471,882 = 471,882/x
  3. Step 3: Cross multiply
    314,444x = 471,882 × 471,882
  4. Step 4: Simplify right side
    314,444x = 222,672,621,924
  5. Step 5: Solve for x
    x = 222,672,621,924/314,444
  6. Step 6: Final answer
    x = 708,147.15

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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.