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Finding the Third Proportional to 237,098 and 518,458

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Solution

The third proportional to 237,098 and 518,458 is: 1,133,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,098 : 518,458 = 518,458 : x
  2. Step 2: Convert to fraction form
    237,098/518,458 = 518,458/x
  3. Step 3: Cross multiply
    237,098x = 518,458 × 518,458
  4. Step 4: Simplify right side
    237,098x = 268,798,697,764
  5. Step 5: Solve for x
    x = 268,798,697,764/237,098
  6. Step 6: Final answer
    x = 1,133,702.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.