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Finding the Third Proportional to 349,579.50 and 539,823.75

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Solution

The third proportional to 349,579.50 and 539,823.75 is: 833,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,579.50 : 539,823.75 = 539,823.75 : x
  2. Step 2: Convert to fraction form
    349,579.50/539,823.75 = 539,823.75/x
  3. Step 3: Cross multiply
    349,579.50x = 539,823.75 × 539,823.75
  4. Step 4: Simplify right side
    349,579.50x = 291,409,681,064.06
  5. Step 5: Solve for x
    x = 291,409,681,064.06/349,579.50
  6. Step 6: Final answer
    x = 833,600.60

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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.