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Finding the Third Proportional to 423,799.59 and 604,175.84

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Solution

The third proportional to 423,799.59 and 604,175.84 is: 861,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,799.59 : 604,175.84 = 604,175.84 : x
  2. Step 2: Convert to fraction form
    423,799.59/604,175.84 = 604,175.84/x
  3. Step 3: Cross multiply
    423,799.59x = 604,175.84 × 604,175.84
  4. Step 4: Simplify right side
    423,799.59x = 365,028,440,730.78
  5. Step 5: Solve for x
    x = 365,028,440,730.78/423,799.59
  6. Step 6: Final answer
    x = 861,323.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.