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Finding the Third Proportional to 377,592 and 736,020

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Solution

The third proportional to 377,592 and 736,020 is: 1,434,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,592 : 736,020 = 736,020 : x
  2. Step 2: Convert to fraction form
    377,592/736,020 = 736,020/x
  3. Step 3: Cross multiply
    377,592x = 736,020 × 736,020
  4. Step 4: Simplify right side
    377,592x = 541,725,440,400
  5. Step 5: Solve for x
    x = 541,725,440,400/377,592
  6. Step 6: Final answer
    x = 1,434,684.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.