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Finding the Third Proportional to 262,306 and 566,489

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Solution

The third proportional to 262,306 and 566,489 is: 1,223,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,306 : 566,489 = 566,489 : x
  2. Step 2: Convert to fraction form
    262,306/566,489 = 566,489/x
  3. Step 3: Cross multiply
    262,306x = 566,489 × 566,489
  4. Step 4: Simplify right side
    262,306x = 320,909,787,121
  5. Step 5: Solve for x
    x = 320,909,787,121/262,306
  6. Step 6: Final answer
    x = 1,223,417.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.