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Finding the Third Proportional to 294,132,720 and 465,530,520

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Solution

The third proportional to 294,132,720 and 465,530,520 is: 736,805,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,132,720 : 465,530,520 = 465,530,520 : x
  2. Step 2: Convert to fraction form
    294,132,720/465,530,520 = 465,530,520/x
  3. Step 3: Cross multiply
    294,132,720x = 465,530,520 × 465,530,520
  4. Step 4: Simplify right side
    294,132,720x = 216,718,665,051,470,400
  5. Step 5: Solve for x
    x = 216,718,665,051,470,400/294,132,720
  6. Step 6: Final answer
    x = 736,805,701.36

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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.