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Finding the Third Proportional to 282,789 and 609,858

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Solution

The third proportional to 282,789 and 609,858 is: 1,315,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,789 : 609,858 = 609,858 : x
  2. Step 2: Convert to fraction form
    282,789/609,858 = 609,858/x
  3. Step 3: Cross multiply
    282,789x = 609,858 × 609,858
  4. Step 4: Simplify right side
    282,789x = 371,926,780,164
  5. Step 5: Solve for x
    x = 371,926,780,164/282,789
  6. Step 6: Final answer
    x = 1,315,209.50

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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.