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Finding the Third Proportional to 294,403.50 and 466,932.38

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Solution

The third proportional to 294,403.50 and 466,932.38 is: 740,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,403.50 : 466,932.38 = 466,932.38 : x
  2. Step 2: Convert to fraction form
    294,403.50/466,932.38 = 466,932.38/x
  3. Step 3: Cross multiply
    294,403.50x = 466,932.38 × 466,932.38
  4. Step 4: Simplify right side
    294,403.50x = 218,025,842,823.14
  5. Step 5: Solve for x
    x = 218,025,842,823.14/294,403.50
  6. Step 6: Final answer
    x = 740,568.11

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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.