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Finding the Third Proportional to 349,766 and 524,642

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Solution

The third proportional to 349,766 and 524,642 is: 786,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,766 : 524,642 = 524,642 : x
  2. Step 2: Convert to fraction form
    349,766/524,642 = 524,642/x
  3. Step 3: Cross multiply
    349,766x = 524,642 × 524,642
  4. Step 4: Simplify right side
    349,766x = 275,249,228,164
  5. Step 5: Solve for x
    x = 275,249,228,164/349,766
  6. Step 6: Final answer
    x = 786,952.50

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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.