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Finding the Third Proportional to 282,518 and 609,850

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Solution

The third proportional to 282,518 and 609,850 is: 1,316,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,518 : 609,850 = 609,850 : x
  2. Step 2: Convert to fraction form
    282,518/609,850 = 609,850/x
  3. Step 3: Cross multiply
    282,518x = 609,850 × 609,850
  4. Step 4: Simplify right side
    282,518x = 371,917,022,500
  5. Step 5: Solve for x
    x = 371,917,022,500/282,518
  6. Step 6: Final answer
    x = 1,316,436.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.