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Finding the Third Proportional to 516,408,338 and 776,125,979

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Solution

The third proportional to 516,408,338 and 776,125,979 is: 1,166,463,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,408,338 : 776,125,979 = 776,125,979 : x
  2. Step 2: Convert to fraction form
    516,408,338/776,125,979 = 776,125,979/x
  3. Step 3: Cross multiply
    516,408,338x = 776,125,979 × 776,125,979
  4. Step 4: Simplify right side
    516,408,338x = 602,371,535,278,708,480
  5. Step 5: Solve for x
    x = 602,371,535,278,708,480/516,408,338
  6. Step 6: Final answer
    x = 1,166,463,612.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.