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Finding the Third Proportional to 529,535 and 808,158

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Solution

The third proportional to 529,535 and 808,158 is: 1,233,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,535 : 808,158 = 808,158 : x
  2. Step 2: Convert to fraction form
    529,535/808,158 = 808,158/x
  3. Step 3: Cross multiply
    529,535x = 808,158 × 808,158
  4. Step 4: Simplify right side
    529,535x = 653,119,352,964
  5. Step 5: Solve for x
    x = 653,119,352,964/529,535
  6. Step 6: Final answer
    x = 1,233,382.78

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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.