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Finding the Third Proportional to 369,750 and 757,023

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Solution

The third proportional to 369,750 and 757,023 is: 1,549,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,750 : 757,023 = 757,023 : x
  2. Step 2: Convert to fraction form
    369,750/757,023 = 757,023/x
  3. Step 3: Cross multiply
    369,750x = 757,023 × 757,023
  4. Step 4: Simplify right side
    369,750x = 573,083,822,529
  5. Step 5: Solve for x
    x = 573,083,822,529/369,750
  6. Step 6: Final answer
    x = 1,549,922.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.