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Finding the Third Proportional to 657,193.50 and 992,898

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Solution

The third proportional to 657,193.50 and 992,898 is: 1,500,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,193.50 : 992,898 = 992,898 : x
  2. Step 2: Convert to fraction form
    657,193.50/992,898 = 992,898/x
  3. Step 3: Cross multiply
    657,193.50x = 992,898 × 992,898
  4. Step 4: Simplify right side
    657,193.50x = 985,846,438,404
  5. Step 5: Solve for x
    x = 985,846,438,404/657,193.50
  6. Step 6: Final answer
    x = 1,500,085.50

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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.