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Finding the Third Proportional to 293,463.56 and 466,822.13

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Solution

The third proportional to 293,463.56 and 466,822.13 is: 742,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,463.56 : 466,822.13 = 466,822.13 : x
  2. Step 2: Convert to fraction form
    293,463.56/466,822.13 = 466,822.13/x
  3. Step 3: Cross multiply
    293,463.56x = 466,822.13 × 466,822.13
  4. Step 4: Simplify right side
    293,463.56x = 217,922,896,389.52
  5. Step 5: Solve for x
    x = 217,922,896,389.52/293,463.56
  6. Step 6: Final answer
    x = 742,589.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.