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Finding the Third Proportional to 529,543 and 808,170

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Solution

The third proportional to 529,543 and 808,170 is: 1,233,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,543 : 808,170 = 808,170 : x
  2. Step 2: Convert to fraction form
    529,543/808,170 = 808,170/x
  3. Step 3: Cross multiply
    529,543x = 808,170 × 808,170
  4. Step 4: Simplify right side
    529,543x = 653,138,748,900
  5. Step 5: Solve for x
    x = 653,138,748,900/529,543
  6. Step 6: Final answer
    x = 1,233,400.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.