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Finding the Third Proportional to 124,670 and 270,476

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Solution

The third proportional to 124,670 and 270,476 is: 586,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,670 : 270,476 = 270,476 : x
  2. Step 2: Convert to fraction form
    124,670/270,476 = 270,476/x
  3. Step 3: Cross multiply
    124,670x = 270,476 × 270,476
  4. Step 4: Simplify right side
    124,670x = 73,157,266,576
  5. Step 5: Solve for x
    x = 73,157,266,576/124,670
  6. Step 6: Final answer
    x = 586,807.30

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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.