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Finding the Third Proportional to 488,200,549 and 736,840,763

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Solution

The third proportional to 488,200,549 and 736,840,763 is: 1,112,113,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,200,549 : 736,840,763 = 736,840,763 : x
  2. Step 2: Convert to fraction form
    488,200,549/736,840,763 = 736,840,763/x
  3. Step 3: Cross multiply
    488,200,549x = 736,840,763 × 736,840,763
  4. Step 4: Simplify right side
    488,200,549x = 542,934,310,018,422,144
  5. Step 5: Solve for x
    x = 542,934,310,018,422,144/488,200,549
  6. Step 6: Final answer
    x = 1,112,113,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.