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Finding the Third Proportional to 282,693 and 437,163

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Solution

The third proportional to 282,693 and 437,163 is: 676,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,693 : 437,163 = 437,163 : x
  2. Step 2: Convert to fraction form
    282,693/437,163 = 437,163/x
  3. Step 3: Cross multiply
    282,693x = 437,163 × 437,163
  4. Step 4: Simplify right side
    282,693x = 191,111,488,569
  5. Step 5: Solve for x
    x = 191,111,488,569/282,693
  6. Step 6: Final answer
    x = 676,038.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.