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Finding the Third Proportional to 292,420.13 and 440,088.19

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Solution

The third proportional to 292,420.13 and 440,088.19 is: 662,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,420.13 : 440,088.19 = 440,088.19 : x
  2. Step 2: Convert to fraction form
    292,420.13/440,088.19 = 440,088.19/x
  3. Step 3: Cross multiply
    292,420.13x = 440,088.19 × 440,088.19
  4. Step 4: Simplify right side
    292,420.13x = 193,677,612,777.04
  5. Step 5: Solve for x
    x = 193,677,612,777.04/292,420.13
  6. Step 6: Final answer
    x = 662,326.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.