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Finding the Third Proportional to 657,265.50 and 993,001.50

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Solution

The third proportional to 657,265.50 and 993,001.50 is: 1,500,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,265.50 : 993,001.50 = 993,001.50 : x
  2. Step 2: Convert to fraction form
    657,265.50/993,001.50 = 993,001.50/x
  3. Step 3: Cross multiply
    657,265.50x = 993,001.50 × 993,001.50
  4. Step 4: Simplify right side
    657,265.50x = 986,051,979,002.25
  5. Step 5: Solve for x
    x = 986,051,979,002.25/657,265.50
  6. Step 6: Final answer
    x = 1,500,233.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.