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Finding the Third Proportional to 561,802.50 and 1,238,127.75

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Solution

The third proportional to 561,802.50 and 1,238,127.75 is: 2,728,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,802.50 : 1,238,127.75 = 1,238,127.75 : x
  2. Step 2: Convert to fraction form
    561,802.50/1,238,127.75 = 1,238,127.75/x
  3. Step 3: Cross multiply
    561,802.50x = 1,238,127.75 × 1,238,127.75
  4. Step 4: Simplify right side
    561,802.50x = 1,532,960,325,320.06
  5. Step 5: Solve for x
    x = 1,532,960,325,320.06/561,802.50
  6. Step 6: Final answer
    x = 2,728,646.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.