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Finding the Third Proportional to 280,001.50 and 658,175.75

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Solution

The third proportional to 280,001.50 and 658,175.75 is: 1,547,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,001.50 : 658,175.75 = 658,175.75 : x
  2. Step 2: Convert to fraction form
    280,001.50/658,175.75 = 658,175.75/x
  3. Step 3: Cross multiply
    280,001.50x = 658,175.75 × 658,175.75
  4. Step 4: Simplify right side
    280,001.50x = 433,195,317,888.06
  5. Step 5: Solve for x
    x = 433,195,317,888.06/280,001.50
  6. Step 6: Final answer
    x = 1,547,117.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.