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Finding the Third Proportional to 270,471 and 578,466

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Solution

The third proportional to 270,471 and 578,466 is: 1,237,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,471 : 578,466 = 578,466 : x
  2. Step 2: Convert to fraction form
    270,471/578,466 = 578,466/x
  3. Step 3: Cross multiply
    270,471x = 578,466 × 578,466
  4. Step 4: Simplify right side
    270,471x = 334,622,913,156
  5. Step 5: Solve for x
    x = 334,622,913,156/270,471
  6. Step 6: Final answer
    x = 1,237,185.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.