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Finding the Third Proportional to 498,507.86 and 1,087,242.28

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Solution

The third proportional to 498,507.86 and 1,087,242.28 is: 2,371,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,507.86 : 1,087,242.28 = 1,087,242.28 : x
  2. Step 2: Convert to fraction form
    498,507.86/1,087,242.28 = 1,087,242.28/x
  3. Step 3: Cross multiply
    498,507.86x = 1,087,242.28 × 1,087,242.28
  4. Step 4: Simplify right side
    498,507.86x = 1,182,095,765,396.53
  5. Step 5: Solve for x
    x = 1,182,095,765,396.53/498,507.86
  6. Step 6: Final answer
    x = 2,371,268.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.