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Finding the Third Proportional to 464,676.75 and 679,177.13

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Solution

The third proportional to 464,676.75 and 679,177.13 is: 992,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,676.75 : 679,177.13 = 679,177.13 : x
  2. Step 2: Convert to fraction form
    464,676.75/679,177.13 = 679,177.13/x
  3. Step 3: Cross multiply
    464,676.75x = 679,177.13 × 679,177.13
  4. Step 4: Simplify right side
    464,676.75x = 461,281,567,123.27
  5. Step 5: Solve for x
    x = 461,281,567,123.27/464,676.75
  6. Step 6: Final answer
    x = 992,693.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.