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Finding the Third Proportional to 269,642.25 and 587,547

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Solution

The third proportional to 269,642.25 and 587,547 is: 1,280,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,642.25 : 587,547 = 587,547 : x
  2. Step 2: Convert to fraction form
    269,642.25/587,547 = 587,547/x
  3. Step 3: Cross multiply
    269,642.25x = 587,547 × 587,547
  4. Step 4: Simplify right side
    269,642.25x = 345,211,477,209
  5. Step 5: Solve for x
    x = 345,211,477,209/269,642.25
  6. Step 6: Final answer
    x = 1,280,257.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.