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Finding the Third Proportional to 242,481 and 526,928

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Solution

The third proportional to 242,481 and 526,928 is: 1,145,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,481 : 526,928 = 526,928 : x
  2. Step 2: Convert to fraction form
    242,481/526,928 = 526,928/x
  3. Step 3: Cross multiply
    242,481x = 526,928 × 526,928
  4. Step 4: Simplify right side
    242,481x = 277,653,117,184
  5. Step 5: Solve for x
    x = 277,653,117,184/242,481
  6. Step 6: Final answer
    x = 1,145,051.02

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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.