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Finding the Third Proportional to 259,075,041 and 398,012,422.50

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Solution

The third proportional to 259,075,041 and 398,012,422.50 is: 611,459,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,075,041 : 398,012,422.50 = 398,012,422.50 : x
  2. Step 2: Convert to fraction form
    259,075,041/398,012,422.50 = 398,012,422.50/x
  3. Step 3: Cross multiply
    259,075,041x = 398,012,422.50 × 398,012,422.50
  4. Step 4: Simplify right side
    259,075,041x = 158,413,888,464,318,496
  5. Step 5: Solve for x
    x = 158,413,888,464,318,496/259,075,041
  6. Step 6: Final answer
    x = 611,459,474.65

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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.