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Finding the Third Proportional to 369,066 and 569,367

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Solution

The third proportional to 369,066 and 569,367 is: 878,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,066 : 569,367 = 569,367 : x
  2. Step 2: Convert to fraction form
    369,066/569,367 = 569,367/x
  3. Step 3: Cross multiply
    369,066x = 569,367 × 569,367
  4. Step 4: Simplify right side
    369,066x = 324,178,780,689
  5. Step 5: Solve for x
    x = 324,178,780,689/369,066
  6. Step 6: Final answer
    x = 878,376.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.