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Finding the Third Proportional to 282,285 and 621,432

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Solution

The third proportional to 282,285 and 621,432 is: 1,368,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,285 : 621,432 = 621,432 : x
  2. Step 2: Convert to fraction form
    282,285/621,432 = 621,432/x
  3. Step 3: Cross multiply
    282,285x = 621,432 × 621,432
  4. Step 4: Simplify right side
    282,285x = 386,177,730,624
  5. Step 5: Solve for x
    x = 386,177,730,624/282,285
  6. Step 6: Final answer
    x = 1,368,041.98

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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.