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Finding the Third Proportional to 803,324 and 1,160,760

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Solution

The third proportional to 803,324 and 1,160,760 is: 1,677,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,324 : 1,160,760 = 1,160,760 : x
  2. Step 2: Convert to fraction form
    803,324/1,160,760 = 1,160,760/x
  3. Step 3: Cross multiply
    803,324x = 1,160,760 × 1,160,760
  4. Step 4: Simplify right side
    803,324x = 1,347,363,777,600
  5. Step 5: Solve for x
    x = 1,347,363,777,600/803,324
  6. Step 6: Final answer
    x = 1,677,235.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.