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Finding the Third Proportional to 633,347 and 980,313

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Solution

The third proportional to 633,347 and 980,313 is: 1,517,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,347 : 980,313 = 980,313 : x
  2. Step 2: Convert to fraction form
    633,347/980,313 = 980,313/x
  3. Step 3: Cross multiply
    633,347x = 980,313 × 980,313
  4. Step 4: Simplify right side
    633,347x = 961,013,577,969
  5. Step 5: Solve for x
    x = 961,013,577,969/633,347
  6. Step 6: Final answer
    x = 1,517,357.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.