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Finding the Third Proportional to 250,628 and 540,376

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Solution

The third proportional to 250,628 and 540,376 is: 1,165,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,628 : 540,376 = 540,376 : x
  2. Step 2: Convert to fraction form
    250,628/540,376 = 540,376/x
  3. Step 3: Cross multiply
    250,628x = 540,376 × 540,376
  4. Step 4: Simplify right side
    250,628x = 292,006,221,376
  5. Step 5: Solve for x
    x = 292,006,221,376/250,628
  6. Step 6: Final answer
    x = 1,165,098.16

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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.