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Finding the Third Proportional to 575,839.13 and 903,241.13

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Solution

The third proportional to 575,839.13 and 903,241.13 is: 1,416,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,839.13 : 903,241.13 = 903,241.13 : x
  2. Step 2: Convert to fraction form
    575,839.13/903,241.13 = 903,241.13/x
  3. Step 3: Cross multiply
    575,839.13x = 903,241.13 × 903,241.13
  4. Step 4: Simplify right side
    575,839.13x = 815,844,529,891.27
  5. Step 5: Solve for x
    x = 815,844,529,891.27/575,839.13
  6. Step 6: Final answer
    x = 1,416,792.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.