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Finding the Third Proportional to 294,396 and 466,922

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Solution

The third proportional to 294,396 and 466,922 is: 740,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,396 : 466,922 = 466,922 : x
  2. Step 2: Convert to fraction form
    294,396/466,922 = 466,922/x
  3. Step 3: Cross multiply
    294,396x = 466,922 × 466,922
  4. Step 4: Simplify right side
    294,396x = 218,016,154,084
  5. Step 5: Solve for x
    x = 218,016,154,084/294,396
  6. Step 6: Final answer
    x = 740,554.06

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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.