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Finding the Third Proportional to 345,395 and 532,858

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Solution

The third proportional to 345,395 and 532,858 is: 822,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,395 : 532,858 = 532,858 : x
  2. Step 2: Convert to fraction form
    345,395/532,858 = 532,858/x
  3. Step 3: Cross multiply
    345,395x = 532,858 × 532,858
  4. Step 4: Simplify right side
    345,395x = 283,937,648,164
  5. Step 5: Solve for x
    x = 283,937,648,164/345,395
  6. Step 6: Final answer
    x = 822,066.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.