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Finding the Third Proportional to 282,952 and 441,648

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Solution

The third proportional to 282,952 and 441,648 is: 689,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,952 : 441,648 = 441,648 : x
  2. Step 2: Convert to fraction form
    282,952/441,648 = 441,648/x
  3. Step 3: Cross multiply
    282,952x = 441,648 × 441,648
  4. Step 4: Simplify right side
    282,952x = 195,052,955,904
  5. Step 5: Solve for x
    x = 195,052,955,904/282,952
  6. Step 6: Final answer
    x = 689,349.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.