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Finding the Third Proportional to 532,559.81 and 749,082.94

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Solution

The third proportional to 532,559.81 and 749,082.94 is: 1,053,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,559.81 : 749,082.94 = 749,082.94 : x
  2. Step 2: Convert to fraction form
    532,559.81/749,082.94 = 749,082.94/x
  3. Step 3: Cross multiply
    532,559.81x = 749,082.94 × 749,082.94
  4. Step 4: Simplify right side
    532,559.81x = 561,125,247,253.63
  5. Step 5: Solve for x
    x = 561,125,247,253.63/532,559.81
  6. Step 6: Final answer
    x = 1,053,637.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.