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Finding the Third Proportional to 345,397 and 532,862

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Solution

The third proportional to 345,397 and 532,862 is: 822,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,397 : 532,862 = 532,862 : x
  2. Step 2: Convert to fraction form
    345,397/532,862 = 532,862/x
  3. Step 3: Cross multiply
    345,397x = 532,862 × 532,862
  4. Step 4: Simplify right side
    345,397x = 283,941,911,044
  5. Step 5: Solve for x
    x = 283,941,911,044/345,397
  6. Step 6: Final answer
    x = 822,074.05

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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.