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Finding the Third Proportional to 765,226.50 and 1,143,841.50

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Solution

The third proportional to 765,226.50 and 1,143,841.50 is: 1,709,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,226.50 : 1,143,841.50 = 1,143,841.50 : x
  2. Step 2: Convert to fraction form
    765,226.50/1,143,841.50 = 1,143,841.50/x
  3. Step 3: Cross multiply
    765,226.50x = 1,143,841.50 × 1,143,841.50
  4. Step 4: Simplify right side
    765,226.50x = 1,308,373,377,122.25
  5. Step 5: Solve for x
    x = 1,308,373,377,122.25/765,226.50
  6. Step 6: Final answer
    x = 1,709,785.77

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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.