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Finding the Third Proportional to 349,727.63 and 531,427.50

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Solution

The third proportional to 349,727.63 and 531,427.50 is: 807,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,727.63 : 531,427.50 = 531,427.50 : x
  2. Step 2: Convert to fraction form
    349,727.63/531,427.50 = 531,427.50/x
  3. Step 3: Cross multiply
    349,727.63x = 531,427.50 × 531,427.50
  4. Step 4: Simplify right side
    349,727.63x = 282,415,187,756.25
  5. Step 5: Solve for x
    x = 282,415,187,756.25/349,727.63
  6. Step 6: Final answer
    x = 807,528.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.