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Finding the Third Proportional to 598,144.50 and 886,555.13

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Solution

The third proportional to 598,144.50 and 886,555.13 is: 1,314,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,144.50 : 886,555.13 = 886,555.13 : x
  2. Step 2: Convert to fraction form
    598,144.50/886,555.13 = 886,555.13/x
  3. Step 3: Cross multiply
    598,144.50x = 886,555.13 × 886,555.13
  4. Step 4: Simplify right side
    598,144.50x = 785,979,989,663.77
  5. Step 5: Solve for x
    x = 785,979,989,663.77/598,144.50
  6. Step 6: Final answer
    x = 1,314,030.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.