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Finding the Third Proportional to 259,454,251 and 417,806,792.75

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Solution

The third proportional to 259,454,251 and 417,806,792.75 is: 672,806,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,454,251 : 417,806,792.75 = 417,806,792.75 : x
  2. Step 2: Convert to fraction form
    259,454,251/417,806,792.75 = 417,806,792.75/x
  3. Step 3: Cross multiply
    259,454,251x = 417,806,792.75 × 417,806,792.75
  4. Step 4: Simplify right side
    259,454,251x = 174,562,516,068,041,440
  5. Step 5: Solve for x
    x = 174,562,516,068,041,440/259,454,251
  6. Step 6: Final answer
    x = 672,806,536.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.