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Finding the Third Proportional to 240,526 and 522,037

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Solution

The third proportional to 240,526 and 522,037 is: 1,133,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,526 : 522,037 = 522,037 : x
  2. Step 2: Convert to fraction form
    240,526/522,037 = 522,037/x
  3. Step 3: Cross multiply
    240,526x = 522,037 × 522,037
  4. Step 4: Simplify right side
    240,526x = 272,522,629,369
  5. Step 5: Solve for x
    x = 272,522,629,369/240,526
  6. Step 6: Final answer
    x = 1,133,027.74

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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.