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Finding the Third Proportional to 262,320 and 571,356

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Solution

The third proportional to 262,320 and 571,356 is: 1,244,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,320 : 571,356 = 571,356 : x
  2. Step 2: Convert to fraction form
    262,320/571,356 = 571,356/x
  3. Step 3: Cross multiply
    262,320x = 571,356 × 571,356
  4. Step 4: Simplify right side
    262,320x = 326,447,678,736
  5. Step 5: Solve for x
    x = 326,447,678,736/262,320
  6. Step 6: Final answer
    x = 1,244,463.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.