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Finding the Third Proportional to 242,598.38 and 526,429.13

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Solution

The third proportional to 242,598.38 and 526,429.13 is: 1,142,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,598.38 : 526,429.13 = 526,429.13 : x
  2. Step 2: Convert to fraction form
    242,598.38/526,429.13 = 526,429.13/x
  3. Step 3: Cross multiply
    242,598.38x = 526,429.13 × 526,429.13
  4. Step 4: Simplify right side
    242,598.38x = 277,127,623,648.27
  5. Step 5: Solve for x
    x = 277,127,623,648.27/242,598.38
  6. Step 6: Final answer
    x = 1,142,330.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.