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Finding the Third Proportional to 282,410 and 550,628

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Solution

The third proportional to 282,410 and 550,628 is: 1,073,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,410 : 550,628 = 550,628 : x
  2. Step 2: Convert to fraction form
    282,410/550,628 = 550,628/x
  3. Step 3: Cross multiply
    282,410x = 550,628 × 550,628
  4. Step 4: Simplify right side
    282,410x = 303,191,194,384
  5. Step 5: Solve for x
    x = 303,191,194,384/282,410
  6. Step 6: Final answer
    x = 1,073,585.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.