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Finding the Third Proportional to 292,849.17 and 442,394.08

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Solution

The third proportional to 292,849.17 and 442,394.08 is: 668,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,849.17 : 442,394.08 = 442,394.08 : x
  2. Step 2: Convert to fraction form
    292,849.17/442,394.08 = 442,394.08/x
  3. Step 3: Cross multiply
    292,849.17x = 442,394.08 × 442,394.08
  4. Step 4: Simplify right side
    292,849.17x = 195,712,519,496.02
  5. Step 5: Solve for x
    x = 195,712,519,496.02/292,849.17
  6. Step 6: Final answer
    x = 668,304.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.