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Finding the Third Proportional to 385,999 and 850,527

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Solution

The third proportional to 385,999 and 850,527 is: 1,874,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,999 : 850,527 = 850,527 : x
  2. Step 2: Convert to fraction form
    385,999/850,527 = 850,527/x
  3. Step 3: Cross multiply
    385,999x = 850,527 × 850,527
  4. Step 4: Simplify right side
    385,999x = 723,396,177,729
  5. Step 5: Solve for x
    x = 723,396,177,729/385,999
  6. Step 6: Final answer
    x = 1,874,088.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.