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Finding the Third Proportional to 294,393.38 and 466,917.75

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Solution

The third proportional to 294,393.38 and 466,917.75 is: 740,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,393.38 : 466,917.75 = 466,917.75 : x
  2. Step 2: Convert to fraction form
    294,393.38/466,917.75 = 466,917.75/x
  3. Step 3: Cross multiply
    294,393.38x = 466,917.75 × 466,917.75
  4. Step 4: Simplify right side
    294,393.38x = 218,012,185,265.06
  5. Step 5: Solve for x
    x = 218,012,185,265.06/294,393.38
  6. Step 6: Final answer
    x = 740,547.19

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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.