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Finding the Third Proportional to 270,122 and 586,028

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Solution

The third proportional to 270,122 and 586,028 is: 1,271,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,122 : 586,028 = 586,028 : x
  2. Step 2: Convert to fraction form
    270,122/586,028 = 586,028/x
  3. Step 3: Cross multiply
    270,122x = 586,028 × 586,028
  4. Step 4: Simplify right side
    270,122x = 343,428,816,784
  5. Step 5: Solve for x
    x = 343,428,816,784/270,122
  6. Step 6: Final answer
    x = 1,271,384.10

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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.