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Finding the Third Proportional to 349,133.50 and 533,854.50

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Solution

The third proportional to 349,133.50 and 533,854.50 is: 816,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,133.50 : 533,854.50 = 533,854.50 : x
  2. Step 2: Convert to fraction form
    349,133.50/533,854.50 = 533,854.50/x
  3. Step 3: Cross multiply
    349,133.50x = 533,854.50 × 533,854.50
  4. Step 4: Simplify right side
    349,133.50x = 285,000,627,170.25
  5. Step 5: Solve for x
    x = 285,000,627,170.25/349,133.50
  6. Step 6: Final answer
    x = 816,308.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.