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Finding the Third Proportional to 521,700 and 698,796

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Solution

The third proportional to 521,700 and 698,796 is: 936,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,700 : 698,796 = 698,796 : x
  2. Step 2: Convert to fraction form
    521,700/698,796 = 698,796/x
  3. Step 3: Cross multiply
    521,700x = 698,796 × 698,796
  4. Step 4: Simplify right side
    521,700x = 488,315,849,616
  5. Step 5: Solve for x
    x = 488,315,849,616/521,700
  6. Step 6: Final answer
    x = 936,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.