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Finding the Third Proportional to 590,949 and 886,207.50

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Solution

The third proportional to 590,949 and 886,207.50 is: 1,328,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,949 : 886,207.50 = 886,207.50 : x
  2. Step 2: Convert to fraction form
    590,949/886,207.50 = 886,207.50/x
  3. Step 3: Cross multiply
    590,949x = 886,207.50 × 886,207.50
  4. Step 4: Simplify right side
    590,949x = 785,363,733,056.25
  5. Step 5: Solve for x
    x = 785,363,733,056.25/590,949
  6. Step 6: Final answer
    x = 1,328,987.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.