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Finding the Third Proportional to 349,903.25 and 524,763.88

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Solution

The third proportional to 349,903.25 and 524,763.88 is: 787,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.25 : 524,763.88 = 524,763.88 : x
  2. Step 2: Convert to fraction form
    349,903.25/524,763.88 = 524,763.88/x
  3. Step 3: Cross multiply
    349,903.25x = 524,763.88 × 524,763.88
  4. Step 4: Simplify right side
    349,903.25x = 275,377,124,505.02
  5. Step 5: Solve for x
    x = 275,377,124,505.02/349,903.25
  6. Step 6: Final answer
    x = 787,009.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.