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Finding the Third Proportional to 294,391.13 and 466,914.38

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Solution

The third proportional to 294,391.13 and 466,914.38 is: 740,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,391.13 : 466,914.38 = 466,914.38 : x
  2. Step 2: Convert to fraction form
    294,391.13/466,914.38 = 466,914.38/x
  3. Step 3: Cross multiply
    294,391.13x = 466,914.38 × 466,914.38
  4. Step 4: Simplify right side
    294,391.13x = 218,009,033,581.64
  5. Step 5: Solve for x
    x = 218,009,033,581.64/294,391.13
  6. Step 6: Final answer
    x = 740,542.14

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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.