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Finding the Third Proportional to 386,808 and 597,706.50

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Solution

The third proportional to 386,808 and 597,706.50 is: 923,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,808 : 597,706.50 = 597,706.50 : x
  2. Step 2: Convert to fraction form
    386,808/597,706.50 = 597,706.50/x
  3. Step 3: Cross multiply
    386,808x = 597,706.50 × 597,706.50
  4. Step 4: Simplify right side
    386,808x = 357,253,060,142.25
  5. Step 5: Solve for x
    x = 357,253,060,142.25/386,808
  6. Step 6: Final answer
    x = 923,592.74

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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.