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Finding the Third Proportional to 240,841 and 529,354

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Solution

The third proportional to 240,841 and 529,354 is: 1,163,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,841 : 529,354 = 529,354 : x
  2. Step 2: Convert to fraction form
    240,841/529,354 = 529,354/x
  3. Step 3: Cross multiply
    240,841x = 529,354 × 529,354
  4. Step 4: Simplify right side
    240,841x = 280,215,657,316
  5. Step 5: Solve for x
    x = 280,215,657,316/240,841
  6. Step 6: Final answer
    x = 1,163,488.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.