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Finding the Third Proportional to 349,872.75 and 540,271.69

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Solution

The third proportional to 349,872.75 and 540,271.69 is: 834,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,872.75 : 540,271.69 = 540,271.69 : x
  2. Step 2: Convert to fraction form
    349,872.75/540,271.69 = 540,271.69/x
  3. Step 3: Cross multiply
    349,872.75x = 540,271.69 × 540,271.69
  4. Step 4: Simplify right side
    349,872.75x = 291,893,496,314.10
  5. Step 5: Solve for x
    x = 291,893,496,314.10/349,872.75
  6. Step 6: Final answer
    x = 834,284.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.