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Finding the Third Proportional to 349,745 and 531,447

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Solution

The third proportional to 349,745 and 531,447 is: 807,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,745 : 531,447 = 531,447 : x
  2. Step 2: Convert to fraction form
    349,745/531,447 = 531,447/x
  3. Step 3: Cross multiply
    349,745x = 531,447 × 531,447
  4. Step 4: Simplify right side
    349,745x = 282,435,913,809
  5. Step 5: Solve for x
    x = 282,435,913,809/349,745
  6. Step 6: Final answer
    x = 807,548.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.