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Finding the Third Proportional to 498,502 and 752,323

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Solution

The third proportional to 498,502 and 752,323 is: 1,135,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,502 : 752,323 = 752,323 : x
  2. Step 2: Convert to fraction form
    498,502/752,323 = 752,323/x
  3. Step 3: Cross multiply
    498,502x = 752,323 × 752,323
  4. Step 4: Simplify right side
    498,502x = 565,989,896,329
  5. Step 5: Solve for x
    x = 565,989,896,329/498,502
  6. Step 6: Final answer
    x = 1,135,381.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.