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Finding the Third Proportional to 522,967 and 808,102

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Solution

The third proportional to 522,967 and 808,102 is: 1,248,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,967 : 808,102 = 808,102 : x
  2. Step 2: Convert to fraction form
    522,967/808,102 = 808,102/x
  3. Step 3: Cross multiply
    522,967x = 808,102 × 808,102
  4. Step 4: Simplify right side
    522,967x = 653,028,842,404
  5. Step 5: Solve for x
    x = 653,028,842,404/522,967
  6. Step 6: Final answer
    x = 1,248,699.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.