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Finding the Third Proportional to 290,638.13 and 424,472.91

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Solution

The third proportional to 290,638.13 and 424,472.91 is: 619,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,638.13 : 424,472.91 = 424,472.91 : x
  2. Step 2: Convert to fraction form
    290,638.13/424,472.91 = 424,472.91/x
  3. Step 3: Cross multiply
    290,638.13x = 424,472.91 × 424,472.91
  4. Step 4: Simplify right side
    290,638.13x = 180,177,248,140.32
  5. Step 5: Solve for x
    x = 180,177,248,140.32/290,638.13
  6. Step 6: Final answer
    x = 619,936.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.