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Finding the Third Proportional to 302,725.50 and 468,711

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Solution

The third proportional to 302,725.50 and 468,711 is: 725,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,725.50 : 468,711 = 468,711 : x
  2. Step 2: Convert to fraction form
    302,725.50/468,711 = 468,711/x
  3. Step 3: Cross multiply
    302,725.50x = 468,711 × 468,711
  4. Step 4: Simplify right side
    302,725.50x = 219,690,001,521
  5. Step 5: Solve for x
    x = 219,690,001,521/302,725.50
  6. Step 6: Final answer
    x = 725,706.96

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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.