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Finding the Third Proportional to 259,056,366 and 561,159,516

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Solution

The third proportional to 259,056,366 and 561,159,516 is: 1,215,565,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,056,366 : 561,159,516 = 561,159,516 : x
  2. Step 2: Convert to fraction form
    259,056,366/561,159,516 = 561,159,516/x
  3. Step 3: Cross multiply
    259,056,366x = 561,159,516 × 561,159,516
  4. Step 4: Simplify right side
    259,056,366x = 314,900,002,397,354,240
  5. Step 5: Solve for x
    x = 314,900,002,397,354,240/259,056,366
  6. Step 6: Final answer
    x = 1,215,565,582.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.