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Finding the Third Proportional to 242,031.75 and 526,041.75

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Solution

The third proportional to 242,031.75 and 526,041.75 is: 1,143,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,031.75 : 526,041.75 = 526,041.75 : x
  2. Step 2: Convert to fraction form
    242,031.75/526,041.75 = 526,041.75/x
  3. Step 3: Cross multiply
    242,031.75x = 526,041.75 × 526,041.75
  4. Step 4: Simplify right side
    242,031.75x = 276,719,922,743.06
  5. Step 5: Solve for x
    x = 276,719,922,743.06/242,031.75
  6. Step 6: Final answer
    x = 1,143,320.75

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