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Finding the Third Proportional to 373,977 and 770,006.25

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Solution

The third proportional to 373,977 and 770,006.25 is: 1,585,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,977 : 770,006.25 = 770,006.25 : x
  2. Step 2: Convert to fraction form
    373,977/770,006.25 = 770,006.25/x
  3. Step 3: Cross multiply
    373,977x = 770,006.25 × 770,006.25
  4. Step 4: Simplify right side
    373,977x = 592,909,625,039.06
  5. Step 5: Solve for x
    x = 592,909,625,039.06/373,977
  6. Step 6: Final answer
    x = 1,585,417.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.