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Finding the Third Proportional to 461,577.38 and 677,389.50

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Solution

The third proportional to 461,577.38 and 677,389.50 is: 994,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,577.38 : 677,389.50 = 677,389.50 : x
  2. Step 2: Convert to fraction form
    461,577.38/677,389.50 = 677,389.50/x
  3. Step 3: Cross multiply
    461,577.38x = 677,389.50 × 677,389.50
  4. Step 4: Simplify right side
    461,577.38x = 458,856,534,710.25
  5. Step 5: Solve for x
    x = 458,856,534,710.25/461,577.38
  6. Step 6: Final answer
    x = 994,105.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.