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Finding the Third Proportional to 281,292,498 and 608,062,716

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Solution

The third proportional to 281,292,498 and 608,062,716 is: 1,314,433,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,292,498 : 608,062,716 = 608,062,716 : x
  2. Step 2: Convert to fraction form
    281,292,498/608,062,716 = 608,062,716/x
  3. Step 3: Cross multiply
    281,292,498x = 608,062,716 × 608,062,716
  4. Step 4: Simplify right side
    281,292,498x = 369,740,266,589,296,640
  5. Step 5: Solve for x
    x = 369,740,266,589,296,640/281,292,498
  6. Step 6: Final answer
    x = 1,314,433,442.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.