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Finding the Third Proportional to 518,348 and 773,526

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Solution

The third proportional to 518,348 and 773,526 is: 1,154,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,348 : 773,526 = 773,526 : x
  2. Step 2: Convert to fraction form
    518,348/773,526 = 773,526/x
  3. Step 3: Cross multiply
    518,348x = 773,526 × 773,526
  4. Step 4: Simplify right side
    518,348x = 598,342,472,676
  5. Step 5: Solve for x
    x = 598,342,472,676/518,348
  6. Step 6: Final answer
    x = 1,154,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.