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Finding the Third Proportional to 336,866 and 727,164

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Solution

The third proportional to 336,866 and 727,164 is: 1,569,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,866 : 727,164 = 727,164 : x
  2. Step 2: Convert to fraction form
    336,866/727,164 = 727,164/x
  3. Step 3: Cross multiply
    336,866x = 727,164 × 727,164
  4. Step 4: Simplify right side
    336,866x = 528,767,482,896
  5. Step 5: Solve for x
    x = 528,767,482,896/336,866
  6. Step 6: Final answer
    x = 1,569,667.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.