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Finding the Third Proportional to 294,132,722 and 465,530,523

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Solution

The third proportional to 294,132,722 and 465,530,523 is: 736,805,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,132,722 : 465,530,523 = 465,530,523 : x
  2. Step 2: Convert to fraction form
    294,132,722/465,530,523 = 465,530,523/x
  3. Step 3: Cross multiply
    294,132,722x = 465,530,523 × 465,530,523
  4. Step 4: Simplify right side
    294,132,722x = 216,718,667,844,653,536
  5. Step 5: Solve for x
    x = 216,718,667,844,653,536/294,132,722
  6. Step 6: Final answer
    x = 736,805,705.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.