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Finding the Third Proportional to 429,038 and 642,729

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Solution

The third proportional to 429,038 and 642,729 is: 962,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,038 : 642,729 = 642,729 : x
  2. Step 2: Convert to fraction form
    429,038/642,729 = 642,729/x
  3. Step 3: Cross multiply
    429,038x = 642,729 × 642,729
  4. Step 4: Simplify right side
    429,038x = 413,100,567,441
  5. Step 5: Solve for x
    x = 413,100,567,441/429,038
  6. Step 6: Final answer
    x = 962,853.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.