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Finding the Third Proportional to 468,997.50 and 712,974

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Solution

The third proportional to 468,997.50 and 712,974 is: 1,083,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,997.50 : 712,974 = 712,974 : x
  2. Step 2: Convert to fraction form
    468,997.50/712,974 = 712,974/x
  3. Step 3: Cross multiply
    468,997.50x = 712,974 × 712,974
  4. Step 4: Simplify right side
    468,997.50x = 508,331,924,676
  5. Step 5: Solve for x
    x = 508,331,924,676/468,997.50
  6. Step 6: Final answer
    x = 1,083,869.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.