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Finding the Third Proportional to 472,682.25 and 714,649.50

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Solution

The third proportional to 472,682.25 and 714,649.50 is: 1,080,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,682.25 : 714,649.50 = 714,649.50 : x
  2. Step 2: Convert to fraction form
    472,682.25/714,649.50 = 714,649.50/x
  3. Step 3: Cross multiply
    472,682.25x = 714,649.50 × 714,649.50
  4. Step 4: Simplify right side
    472,682.25x = 510,723,907,850.25
  5. Step 5: Solve for x
    x = 510,723,907,850.25/472,682.25
  6. Step 6: Final answer
    x = 1,080,480.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.