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Finding the Third Proportional to 349,989 and 541,389

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Solution

The third proportional to 349,989 and 541,389 is: 837,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,989 : 541,389 = 541,389 : x
  2. Step 2: Convert to fraction form
    349,989/541,389 = 541,389/x
  3. Step 3: Cross multiply
    349,989x = 541,389 × 541,389
  4. Step 4: Simplify right side
    349,989x = 293,102,049,321
  5. Step 5: Solve for x
    x = 293,102,049,321/349,989
  6. Step 6: Final answer
    x = 837,460.75

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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.