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Finding the Third Proportional to 502,376 and 1,083,464

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Solution

The third proportional to 502,376 and 1,083,464 is: 2,336,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,376 : 1,083,464 = 1,083,464 : x
  2. Step 2: Convert to fraction form
    502,376/1,083,464 = 1,083,464/x
  3. Step 3: Cross multiply
    502,376x = 1,083,464 × 1,083,464
  4. Step 4: Simplify right side
    502,376x = 1,173,894,239,296
  5. Step 5: Solve for x
    x = 1,173,894,239,296/502,376
  6. Step 6: Final answer
    x = 2,336,684.55

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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.