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Finding the Third Proportional to 461,581.50 and 677,394.50

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Solution

The third proportional to 461,581.50 and 677,394.50 is: 994,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,581.50 : 677,394.50 = 677,394.50 : x
  2. Step 2: Convert to fraction form
    461,581.50/677,394.50 = 677,394.50/x
  3. Step 3: Cross multiply
    461,581.50x = 677,394.50 × 677,394.50
  4. Step 4: Simplify right side
    461,581.50x = 458,863,308,630.25
  5. Step 5: Solve for x
    x = 458,863,308,630.25/461,581.50
  6. Step 6: Final answer
    x = 994,111.13

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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.