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Finding the Third Proportional to 465,517.76 and 711,808.70

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Solution

The third proportional to 465,517.76 and 711,808.70 is: 1,088,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,517.76 : 711,808.70 = 711,808.70 : x
  2. Step 2: Convert to fraction form
    465,517.76/711,808.70 = 711,808.70/x
  3. Step 3: Cross multiply
    465,517.76x = 711,808.70 × 711,808.70
  4. Step 4: Simplify right side
    465,517.76x = 506,671,624,283.49
  5. Step 5: Solve for x
    x = 506,671,624,283.49/465,517.76
  6. Step 6: Final answer
    x = 1,088,404.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.