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Finding the Third Proportional to 529,537 and 808,161

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Solution

The third proportional to 529,537 and 808,161 is: 1,233,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,537 : 808,161 = 808,161 : x
  2. Step 2: Convert to fraction form
    529,537/808,161 = 808,161/x
  3. Step 3: Cross multiply
    529,537x = 808,161 × 808,161
  4. Step 4: Simplify right side
    529,537x = 653,124,201,921
  5. Step 5: Solve for x
    x = 653,124,201,921/529,537
  6. Step 6: Final answer
    x = 1,233,387.28

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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.