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Finding the Third Proportional to 449,101.13 and 693,721.13

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Solution

The third proportional to 449,101.13 and 693,721.13 is: 1,071,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,101.13 : 693,721.13 = 693,721.13 : x
  2. Step 2: Convert to fraction form
    449,101.13/693,721.13 = 693,721.13/x
  3. Step 3: Cross multiply
    449,101.13x = 693,721.13 × 693,721.13
  4. Step 4: Simplify right side
    449,101.13x = 481,248,999,271.27
  5. Step 5: Solve for x
    x = 481,248,999,271.27/449,101.13
  6. Step 6: Final answer
    x = 1,071,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.