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Finding the Third Proportional to 449,209.13 and 693,883.13

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Solution

The third proportional to 449,209.13 and 693,883.13 is: 1,071,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,209.13 : 693,883.13 = 693,883.13 : x
  2. Step 2: Convert to fraction form
    449,209.13/693,883.13 = 693,883.13/x
  3. Step 3: Cross multiply
    449,209.13x = 693,883.13 × 693,883.13
  4. Step 4: Simplify right side
    449,209.13x = 481,473,791,159.77
  5. Step 5: Solve for x
    x = 481,473,791,159.77/449,209.13
  6. Step 6: Final answer
    x = 1,071,825.49

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