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Finding the Third Proportional to 576,327 and 926,002.50

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Solution

The third proportional to 576,327 and 926,002.50 is: 1,487,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,327 : 926,002.50 = 926,002.50 : x
  2. Step 2: Convert to fraction form
    576,327/926,002.50 = 926,002.50/x
  3. Step 3: Cross multiply
    576,327x = 926,002.50 × 926,002.50
  4. Step 4: Simplify right side
    576,327x = 857,480,630,006.25
  5. Step 5: Solve for x
    x = 857,480,630,006.25/576,327
  6. Step 6: Final answer
    x = 1,487,836.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.