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Finding the Third Proportional to 281,377.50 and 616,117.50

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Solution

The third proportional to 281,377.50 and 616,117.50 is: 1,349,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,377.50 : 616,117.50 = 616,117.50 : x
  2. Step 2: Convert to fraction form
    281,377.50/616,117.50 = 616,117.50/x
  3. Step 3: Cross multiply
    281,377.50x = 616,117.50 × 616,117.50
  4. Step 4: Simplify right side
    281,377.50x = 379,600,773,806.25
  5. Step 5: Solve for x
    x = 379,600,773,806.25/281,377.50
  6. Step 6: Final answer
    x = 1,349,080.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.