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Finding the Third Proportional to 395,358 and 852,924

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Solution

The third proportional to 395,358 and 852,924 is: 1,840,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,358 : 852,924 = 852,924 : x
  2. Step 2: Convert to fraction form
    395,358/852,924 = 852,924/x
  3. Step 3: Cross multiply
    395,358x = 852,924 × 852,924
  4. Step 4: Simplify right side
    395,358x = 727,479,349,776
  5. Step 5: Solve for x
    x = 727,479,349,776/395,358
  6. Step 6: Final answer
    x = 1,840,052.18

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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.