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Finding the Third Proportional to 335,271.50 and 727,309

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Solution

The third proportional to 335,271.50 and 727,309 is: 1,577,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,271.50 : 727,309 = 727,309 : x
  2. Step 2: Convert to fraction form
    335,271.50/727,309 = 727,309/x
  3. Step 3: Cross multiply
    335,271.50x = 727,309 × 727,309
  4. Step 4: Simplify right side
    335,271.50x = 528,978,381,481
  5. Step 5: Solve for x
    x = 528,978,381,481/335,271.50
  6. Step 6: Final answer
    x = 1,577,761.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.