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Finding the Third Proportional to 240,866 and 529,402

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Solution

The third proportional to 240,866 and 529,402 is: 1,163,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,866 : 529,402 = 529,402 : x
  2. Step 2: Convert to fraction form
    240,866/529,402 = 529,402/x
  3. Step 3: Cross multiply
    240,866x = 529,402 × 529,402
  4. Step 4: Simplify right side
    240,866x = 280,266,477,604
  5. Step 5: Solve for x
    x = 280,266,477,604/240,866
  6. Step 6: Final answer
    x = 1,163,578.41

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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.