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Finding the Third Proportional to 442,932 and 687,148.50

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Solution

The third proportional to 442,932 and 687,148.50 is: 1,066,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,932 : 687,148.50 = 687,148.50 : x
  2. Step 2: Convert to fraction form
    442,932/687,148.50 = 687,148.50/x
  3. Step 3: Cross multiply
    442,932x = 687,148.50 × 687,148.50
  4. Step 4: Simplify right side
    442,932x = 472,173,061,052.25
  5. Step 5: Solve for x
    x = 472,173,061,052.25/442,932
  6. Step 6: Final answer
    x = 1,066,017.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.