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Finding the Third Proportional to 569,662 and 858,144

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Solution

The third proportional to 569,662 and 858,144 is: 1,292,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,662 : 858,144 = 858,144 : x
  2. Step 2: Convert to fraction form
    569,662/858,144 = 858,144/x
  3. Step 3: Cross multiply
    569,662x = 858,144 × 858,144
  4. Step 4: Simplify right side
    569,662x = 736,411,124,736
  5. Step 5: Solve for x
    x = 736,411,124,736/569,662
  6. Step 6: Final answer
    x = 1,292,715.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.