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Finding the Third Proportional to 535,315.50 and 726,674.63

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Solution

The third proportional to 535,315.50 and 726,674.63 is: 986,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,315.50 : 726,674.63 = 726,674.63 : x
  2. Step 2: Convert to fraction form
    535,315.50/726,674.63 = 726,674.63/x
  3. Step 3: Cross multiply
    535,315.50x = 726,674.63 × 726,674.63
  4. Step 4: Simplify right side
    535,315.50x = 528,056,010,618.89
  5. Step 5: Solve for x
    x = 528,056,010,618.89/535,315.50
  6. Step 6: Final answer
    x = 986,438.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.