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Finding the Third Proportional to 270,046 and 591,000

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Solution

The third proportional to 270,046 and 591,000 is: 1,293,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,046 : 591,000 = 591,000 : x
  2. Step 2: Convert to fraction form
    270,046/591,000 = 591,000/x
  3. Step 3: Cross multiply
    270,046x = 591,000 × 591,000
  4. Step 4: Simplify right side
    270,046x = 349,281,000,000
  5. Step 5: Solve for x
    x = 349,281,000,000/270,046
  6. Step 6: Final answer
    x = 1,293,412.97

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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.