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Finding the Third Proportional to 576,458 and 866,539.50

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Solution

The third proportional to 576,458 and 866,539.50 is: 1,302,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,458 : 866,539.50 = 866,539.50 : x
  2. Step 2: Convert to fraction form
    576,458/866,539.50 = 866,539.50/x
  3. Step 3: Cross multiply
    576,458x = 866,539.50 × 866,539.50
  4. Step 4: Simplify right side
    576,458x = 750,890,705,060.25
  5. Step 5: Solve for x
    x = 750,890,705,060.25/576,458
  6. Step 6: Final answer
    x = 1,302,593.95

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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.