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Finding the Third Proportional to 352,797 and 532,437

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Solution

The third proportional to 352,797 and 532,437 is: 803,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,797 : 532,437 = 532,437 : x
  2. Step 2: Convert to fraction form
    352,797/532,437 = 532,437/x
  3. Step 3: Cross multiply
    352,797x = 532,437 × 532,437
  4. Step 4: Simplify right side
    352,797x = 283,489,158,969
  5. Step 5: Solve for x
    x = 283,489,158,969/352,797
  6. Step 6: Final answer
    x = 803,547.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.