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Finding the Third Proportional to 305,862.75 and 465,274.13

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Solution

The third proportional to 305,862.75 and 465,274.13 is: 707,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.75 : 465,274.13 = 465,274.13 : x
  2. Step 2: Convert to fraction form
    305,862.75/465,274.13 = 465,274.13/x
  3. Step 3: Cross multiply
    305,862.75x = 465,274.13 × 465,274.13
  4. Step 4: Simplify right side
    305,862.75x = 216,480,011,394.52
  5. Step 5: Solve for x
    x = 216,480,011,394.52/305,862.75
  6. Step 6: Final answer
    x = 707,768.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.