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Finding the Third Proportional to 316,523.19 and 732,122.19

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Solution

The third proportional to 316,523.19 and 732,122.19 is: 1,693,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,523.19 : 732,122.19 = 732,122.19 : x
  2. Step 2: Convert to fraction form
    316,523.19/732,122.19 = 732,122.19/x
  3. Step 3: Cross multiply
    316,523.19x = 732,122.19 × 732,122.19
  4. Step 4: Simplify right side
    316,523.19x = 536,002,897,429.79
  5. Step 5: Solve for x
    x = 536,002,897,429.79/316,523.19
  6. Step 6: Final answer
    x = 1,693,408.00

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.