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Finding the Third Proportional to 367,866 and 569,835

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Solution

The third proportional to 367,866 and 569,835 is: 882,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,866 : 569,835 = 569,835 : x
  2. Step 2: Convert to fraction form
    367,866/569,835 = 569,835/x
  3. Step 3: Cross multiply
    367,866x = 569,835 × 569,835
  4. Step 4: Simplify right side
    367,866x = 324,711,927,225
  5. Step 5: Solve for x
    x = 324,711,927,225/367,866
  6. Step 6: Final answer
    x = 882,690.78

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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.