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Finding the Third Proportional to 349,903 and 524,763.50

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Solution

The third proportional to 349,903 and 524,763.50 is: 787,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903 : 524,763.50 = 524,763.50 : x
  2. Step 2: Convert to fraction form
    349,903/524,763.50 = 524,763.50/x
  3. Step 3: Cross multiply
    349,903x = 524,763.50 × 524,763.50
  4. Step 4: Simplify right side
    349,903x = 275,376,730,932.25
  5. Step 5: Solve for x
    x = 275,376,730,932.25/349,903
  6. Step 6: Final answer
    x = 787,008.77

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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.