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Finding the Third Proportional to 442,428 and 676,534.50

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Solution

The third proportional to 442,428 and 676,534.50 is: 1,034,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,428 : 676,534.50 = 676,534.50 : x
  2. Step 2: Convert to fraction form
    442,428/676,534.50 = 676,534.50/x
  3. Step 3: Cross multiply
    442,428x = 676,534.50 × 676,534.50
  4. Step 4: Simplify right side
    442,428x = 457,698,929,690.25
  5. Step 5: Solve for x
    x = 457,698,929,690.25/442,428
  6. Step 6: Final answer
    x = 1,034,516.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.