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Finding the Third Proportional to 518,472 and 799,820

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Solution

The third proportional to 518,472 and 799,820 is: 1,233,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,472 : 799,820 = 799,820 : x
  2. Step 2: Convert to fraction form
    518,472/799,820 = 799,820/x
  3. Step 3: Cross multiply
    518,472x = 799,820 × 799,820
  4. Step 4: Simplify right side
    518,472x = 639,712,032,400
  5. Step 5: Solve for x
    x = 639,712,032,400/518,472
  6. Step 6: Final answer
    x = 1,233,841.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.