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Finding the Third Proportional to 270,840 and 586,880

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Solution

The third proportional to 270,840 and 586,880 is: 1,271,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,840 : 586,880 = 586,880 : x
  2. Step 2: Convert to fraction form
    270,840/586,880 = 586,880/x
  3. Step 3: Cross multiply
    270,840x = 586,880 × 586,880
  4. Step 4: Simplify right side
    270,840x = 344,428,134,400
  5. Step 5: Solve for x
    x = 344,428,134,400/270,840
  6. Step 6: Final answer
    x = 1,271,703.35

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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.