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Finding the Third Proportional to 349,953.75 and 723,235.50

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Solution

The third proportional to 349,953.75 and 723,235.50 is: 1,494,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,953.75 : 723,235.50 = 723,235.50 : x
  2. Step 2: Convert to fraction form
    349,953.75/723,235.50 = 723,235.50/x
  3. Step 3: Cross multiply
    349,953.75x = 723,235.50 × 723,235.50
  4. Step 4: Simplify right side
    349,953.75x = 523,069,588,460.25
  5. Step 5: Solve for x
    x = 523,069,588,460.25/349,953.75
  6. Step 6: Final answer
    x = 1,494,682.05

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.