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Finding the Third Proportional to 456,412.50 and 709,494

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Solution

The third proportional to 456,412.50 and 709,494 is: 1,102,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,412.50 : 709,494 = 709,494 : x
  2. Step 2: Convert to fraction form
    456,412.50/709,494 = 709,494/x
  3. Step 3: Cross multiply
    456,412.50x = 709,494 × 709,494
  4. Step 4: Simplify right side
    456,412.50x = 503,381,736,036
  5. Step 5: Solve for x
    x = 503,381,736,036/456,412.50
  6. Step 6: Final answer
    x = 1,102,909.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.