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Finding the Third Proportional to 522,970 and 808,107

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Solution

The third proportional to 522,970 and 808,107 is: 1,248,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,970 : 808,107 = 808,107 : x
  2. Step 2: Convert to fraction form
    522,970/808,107 = 808,107/x
  3. Step 3: Cross multiply
    522,970x = 808,107 × 808,107
  4. Step 4: Simplify right side
    522,970x = 653,036,923,449
  5. Step 5: Solve for x
    x = 653,036,923,449/522,970
  6. Step 6: Final answer
    x = 1,248,708.19

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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.