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Finding the Third Proportional to 262,473.19 and 542,442.38

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Solution

The third proportional to 262,473.19 and 542,442.38 is: 1,121,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,473.19 : 542,442.38 = 542,442.38 : x
  2. Step 2: Convert to fraction form
    262,473.19/542,442.38 = 542,442.38/x
  3. Step 3: Cross multiply
    262,473.19x = 542,442.38 × 542,442.38
  4. Step 4: Simplify right side
    262,473.19x = 294,243,730,195.64
  5. Step 5: Solve for x
    x = 294,243,730,195.64/262,473.19
  6. Step 6: Final answer
    x = 1,121,043.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.