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Finding the Third Proportional to 449,320.50 and 977,373

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Solution

The third proportional to 449,320.50 and 977,373 is: 2,126,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,320.50 : 977,373 = 977,373 : x
  2. Step 2: Convert to fraction form
    449,320.50/977,373 = 977,373/x
  3. Step 3: Cross multiply
    449,320.50x = 977,373 × 977,373
  4. Step 4: Simplify right side
    449,320.50x = 955,257,981,129
  5. Step 5: Solve for x
    x = 955,257,981,129/449,320.50
  6. Step 6: Final answer
    x = 2,126,005.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.