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Finding the Third Proportional to 517,000 and 744,632

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Solution

The third proportional to 517,000 and 744,632 is: 1,072,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,000 : 744,632 = 744,632 : x
  2. Step 2: Convert to fraction form
    517,000/744,632 = 744,632/x
  3. Step 3: Cross multiply
    517,000x = 744,632 × 744,632
  4. Step 4: Simplify right side
    517,000x = 554,476,815,424
  5. Step 5: Solve for x
    x = 554,476,815,424/517,000
  6. Step 6: Final answer
    x = 1,072,489.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.