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Finding the Third Proportional to 250,376 and 518,248

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Solution

The third proportional to 250,376 and 518,248 is: 1,072,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,376 : 518,248 = 518,248 : x
  2. Step 2: Convert to fraction form
    250,376/518,248 = 518,248/x
  3. Step 3: Cross multiply
    250,376x = 518,248 × 518,248
  4. Step 4: Simplify right side
    250,376x = 268,580,989,504
  5. Step 5: Solve for x
    x = 268,580,989,504/250,376
  6. Step 6: Final answer
    x = 1,072,710.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.