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Finding the Third Proportional to 229,419.56 and 496,639.13

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Solution

The third proportional to 229,419.56 and 496,639.13 is: 1,075,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,419.56 : 496,639.13 = 496,639.13 : x
  2. Step 2: Convert to fraction form
    229,419.56/496,639.13 = 496,639.13/x
  3. Step 3: Cross multiply
    229,419.56x = 496,639.13 × 496,639.13
  4. Step 4: Simplify right side
    229,419.56x = 246,650,420,480.77
  5. Step 5: Solve for x
    x = 246,650,420,480.77/229,419.56
  6. Step 6: Final answer
    x = 1,075,106.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.