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Finding the Third Proportional to 761,548.50 and 1,134,006.75

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Solution

The third proportional to 761,548.50 and 1,134,006.75 is: 1,688,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,548.50 : 1,134,006.75 = 1,134,006.75 : x
  2. Step 2: Convert to fraction form
    761,548.50/1,134,006.75 = 1,134,006.75/x
  3. Step 3: Cross multiply
    761,548.50x = 1,134,006.75 × 1,134,006.75
  4. Step 4: Simplify right side
    761,548.50x = 1,285,971,309,045.56
  5. Step 5: Solve for x
    x = 1,285,971,309,045.56/761,548.50
  6. Step 6: Final answer
    x = 1,688,626.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.