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Finding the Third Proportional to 334,358,144 and 516,443,712

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Solution

The third proportional to 334,358,144 and 516,443,712 is: 797,689,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,358,144 : 516,443,712 = 516,443,712 : x
  2. Step 2: Convert to fraction form
    334,358,144/516,443,712 = 516,443,712/x
  3. Step 3: Cross multiply
    334,358,144x = 516,443,712 × 516,443,712
  4. Step 4: Simplify right side
    334,358,144x = 266,714,107,664,338,944
  5. Step 5: Solve for x
    x = 266,714,107,664,338,944/334,358,144
  6. Step 6: Final answer
    x = 797,689,879.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.