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Finding the Third Proportional to 487,384.50 and 753,204

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Solution

The third proportional to 487,384.50 and 753,204 is: 1,164,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,384.50 : 753,204 = 753,204 : x
  2. Step 2: Convert to fraction form
    487,384.50/753,204 = 753,204/x
  3. Step 3: Cross multiply
    487,384.50x = 753,204 × 753,204
  4. Step 4: Simplify right side
    487,384.50x = 567,316,265,616
  5. Step 5: Solve for x
    x = 567,316,265,616/487,384.50
  6. Step 6: Final answer
    x = 1,164,001.45

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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.