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Finding the Third Proportional to 268,034 and 579,076

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Solution

The third proportional to 268,034 and 579,076 is: 1,251,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,034 : 579,076 = 579,076 : x
  2. Step 2: Convert to fraction form
    268,034/579,076 = 579,076/x
  3. Step 3: Cross multiply
    268,034x = 579,076 × 579,076
  4. Step 4: Simplify right side
    268,034x = 335,329,013,776
  5. Step 5: Solve for x
    x = 335,329,013,776/268,034
  6. Step 6: Final answer
    x = 1,251,068.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.