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Finding the Third Proportional to 529,539 and 808,164

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Solution

The third proportional to 529,539 and 808,164 is: 1,233,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,539 : 808,164 = 808,164 : x
  2. Step 2: Convert to fraction form
    529,539/808,164 = 808,164/x
  3. Step 3: Cross multiply
    529,539x = 808,164 × 808,164
  4. Step 4: Simplify right side
    529,539x = 653,129,050,896
  5. Step 5: Solve for x
    x = 653,129,050,896/529,539
  6. Step 6: Final answer
    x = 1,233,391.78

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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.