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Finding the Third Proportional to 352,386 and 536,841

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Solution

The third proportional to 352,386 and 536,841 is: 817,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,386 : 536,841 = 536,841 : x
  2. Step 2: Convert to fraction form
    352,386/536,841 = 536,841/x
  3. Step 3: Cross multiply
    352,386x = 536,841 × 536,841
  4. Step 4: Simplify right side
    352,386x = 288,198,259,281
  5. Step 5: Solve for x
    x = 288,198,259,281/352,386
  6. Step 6: Final answer
    x = 817,848.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.