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Finding the Third Proportional to 268,216 and 584,528

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Solution

The third proportional to 268,216 and 584,528 is: 1,273,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,216 : 584,528 = 584,528 : x
  2. Step 2: Convert to fraction form
    268,216/584,528 = 584,528/x
  3. Step 3: Cross multiply
    268,216x = 584,528 × 584,528
  4. Step 4: Simplify right side
    268,216x = 341,672,982,784
  5. Step 5: Solve for x
    x = 341,672,982,784/268,216
  6. Step 6: Final answer
    x = 1,273,872.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.