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Finding the Third Proportional to 543,098 and 759,644

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Solution

The third proportional to 543,098 and 759,644 is: 1,062,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,098 : 759,644 = 759,644 : x
  2. Step 2: Convert to fraction form
    543,098/759,644 = 759,644/x
  3. Step 3: Cross multiply
    543,098x = 759,644 × 759,644
  4. Step 4: Simplify right side
    543,098x = 577,059,006,736
  5. Step 5: Solve for x
    x = 577,059,006,736/543,098
  6. Step 6: Final answer
    x = 1,062,532.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.