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Finding the Third Proportional to 589,250 and 900,996

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Solution

The third proportional to 589,250 and 900,996 is: 1,377,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,250 : 900,996 = 900,996 : x
  2. Step 2: Convert to fraction form
    589,250/900,996 = 900,996/x
  3. Step 3: Cross multiply
    589,250x = 900,996 × 900,996
  4. Step 4: Simplify right side
    589,250x = 811,793,792,016
  5. Step 5: Solve for x
    x = 811,793,792,016/589,250
  6. Step 6: Final answer
    x = 1,377,672.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.