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Finding the Third Proportional to 270,693 and 587,490

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Solution

The third proportional to 270,693 and 587,490 is: 1,275,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,693 : 587,490 = 587,490 : x
  2. Step 2: Convert to fraction form
    270,693/587,490 = 587,490/x
  3. Step 3: Cross multiply
    270,693x = 587,490 × 587,490
  4. Step 4: Simplify right side
    270,693x = 345,144,500,100
  5. Step 5: Solve for x
    x = 345,144,500,100/270,693
  6. Step 6: Final answer
    x = 1,275,040.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.