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Finding the Third Proportional to 748,153.50 and 1,160,827

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Solution

The third proportional to 748,153.50 and 1,160,827 is: 1,801,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,153.50 : 1,160,827 = 1,160,827 : x
  2. Step 2: Convert to fraction form
    748,153.50/1,160,827 = 1,160,827/x
  3. Step 3: Cross multiply
    748,153.50x = 1,160,827 × 1,160,827
  4. Step 4: Simplify right side
    748,153.50x = 1,347,519,323,929
  5. Step 5: Solve for x
    x = 1,347,519,323,929/748,153.50
  6. Step 6: Final answer
    x = 1,801,126.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.