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Finding the Third Proportional to 429,051 and 642,748.50

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Solution

The third proportional to 429,051 and 642,748.50 is: 962,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,051 : 642,748.50 = 642,748.50 : x
  2. Step 2: Convert to fraction form
    429,051/642,748.50 = 642,748.50/x
  3. Step 3: Cross multiply
    429,051x = 642,748.50 × 642,748.50
  4. Step 4: Simplify right side
    429,051x = 413,125,634,252.25
  5. Step 5: Solve for x
    x = 413,125,634,252.25/429,051
  6. Step 6: Final answer
    x = 962,882.35

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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.