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Finding the Third Proportional to 457,440 and 679,506

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Solution

The third proportional to 457,440 and 679,506 is: 1,009,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,440 : 679,506 = 679,506 : x
  2. Step 2: Convert to fraction form
    457,440/679,506 = 679,506/x
  3. Step 3: Cross multiply
    457,440x = 679,506 × 679,506
  4. Step 4: Simplify right side
    457,440x = 461,728,404,036
  5. Step 5: Solve for x
    x = 461,728,404,036/457,440
  6. Step 6: Final answer
    x = 1,009,374.79

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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.