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Finding the Third Proportional to 377,038.13 and 808,049.25

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Solution

The third proportional to 377,038.13 and 808,049.25 is: 1,731,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,038.13 : 808,049.25 = 808,049.25 : x
  2. Step 2: Convert to fraction form
    377,038.13/808,049.25 = 808,049.25/x
  3. Step 3: Cross multiply
    377,038.13x = 808,049.25 × 808,049.25
  4. Step 4: Simplify right side
    377,038.13x = 652,943,590,425.56
  5. Step 5: Solve for x
    x = 652,943,590,425.56/377,038.13
  6. Step 6: Final answer
    x = 1,731,770.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.