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Finding the Third Proportional to 345,402 and 532,868

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Solution

The third proportional to 345,402 and 532,868 is: 822,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,402 : 532,868 = 532,868 : x
  2. Step 2: Convert to fraction form
    345,402/532,868 = 532,868/x
  3. Step 3: Cross multiply
    345,402x = 532,868 × 532,868
  4. Step 4: Simplify right side
    345,402x = 283,948,305,424
  5. Step 5: Solve for x
    x = 283,948,305,424/345,402
  6. Step 6: Final answer
    x = 822,080.66

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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.