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Finding the Third Proportional to 350,358 and 534,285

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Solution

The third proportional to 350,358 and 534,285 is: 814,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,358 : 534,285 = 534,285 : x
  2. Step 2: Convert to fraction form
    350,358/534,285 = 534,285/x
  3. Step 3: Cross multiply
    350,358x = 534,285 × 534,285
  4. Step 4: Simplify right side
    350,358x = 285,460,461,225
  5. Step 5: Solve for x
    x = 285,460,461,225/350,358
  6. Step 6: Final answer
    x = 814,767.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.