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Finding the Third Proportional to 454,434.75 and 705,649.50

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Solution

The third proportional to 454,434.75 and 705,649.50 is: 1,095,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,434.75 : 705,649.50 = 705,649.50 : x
  2. Step 2: Convert to fraction form
    454,434.75/705,649.50 = 705,649.50/x
  3. Step 3: Cross multiply
    454,434.75x = 705,649.50 × 705,649.50
  4. Step 4: Simplify right side
    454,434.75x = 497,941,216,850.25
  5. Step 5: Solve for x
    x = 497,941,216,850.25/454,434.75
  6. Step 6: Final answer
    x = 1,095,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.