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Finding the Third Proportional to 240,617 and 522,213

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Solution

The third proportional to 240,617 and 522,213 is: 1,133,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,617 : 522,213 = 522,213 : x
  2. Step 2: Convert to fraction form
    240,617/522,213 = 522,213/x
  3. Step 3: Cross multiply
    240,617x = 522,213 × 522,213
  4. Step 4: Simplify right side
    240,617x = 272,706,417,369
  5. Step 5: Solve for x
    x = 272,706,417,369/240,617
  6. Step 6: Final answer
    x = 1,133,363.05

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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.