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Finding the Third Proportional to 242,082 and 517,518

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Solution

The third proportional to 242,082 and 517,518 is: 1,106,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,082 : 517,518 = 517,518 : x
  2. Step 2: Convert to fraction form
    242,082/517,518 = 517,518/x
  3. Step 3: Cross multiply
    242,082x = 517,518 × 517,518
  4. Step 4: Simplify right side
    242,082x = 267,824,880,324
  5. Step 5: Solve for x
    x = 267,824,880,324/242,082
  6. Step 6: Final answer
    x = 1,106,339.51

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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.