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Finding the Third Proportional to 384,750 and 840,294

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Solution

The third proportional to 384,750 and 840,294 is: 1,835,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,750 : 840,294 = 840,294 : x
  2. Step 2: Convert to fraction form
    384,750/840,294 = 840,294/x
  3. Step 3: Cross multiply
    384,750x = 840,294 × 840,294
  4. Step 4: Simplify right side
    384,750x = 706,094,006,436
  5. Step 5: Solve for x
    x = 706,094,006,436/384,750
  6. Step 6: Final answer
    x = 1,835,202.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.