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Finding the Third Proportional to 653,382 and 985,608

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Solution

The third proportional to 653,382 and 985,608 is: 1,486,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,382 : 985,608 = 985,608 : x
  2. Step 2: Convert to fraction form
    653,382/985,608 = 985,608/x
  3. Step 3: Cross multiply
    653,382x = 985,608 × 985,608
  4. Step 4: Simplify right side
    653,382x = 971,423,129,664
  5. Step 5: Solve for x
    x = 971,423,129,664/653,382
  6. Step 6: Final answer
    x = 1,486,761.39

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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.