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Finding the Third Proportional to 270,116.44 and 586,018.13

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Solution

The third proportional to 270,116.44 and 586,018.13 is: 1,271,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,116.44 : 586,018.13 = 586,018.13 : x
  2. Step 2: Convert to fraction form
    270,116.44/586,018.13 = 586,018.13/x
  3. Step 3: Cross multiply
    270,116.44x = 586,018.13 × 586,018.13
  4. Step 4: Simplify right side
    270,116.44x = 343,417,242,828.52
  5. Step 5: Solve for x
    x = 343,417,242,828.52/270,116.44
  6. Step 6: Final answer
    x = 1,271,367.44

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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.