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Finding the Third Proportional to 740,200.50 and 1,614,263.63

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Solution

The third proportional to 740,200.50 and 1,614,263.63 is: 3,520,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,200.50 : 1,614,263.63 = 1,614,263.63 : x
  2. Step 2: Convert to fraction form
    740,200.50/1,614,263.63 = 1,614,263.63/x
  3. Step 3: Cross multiply
    740,200.50x = 1,614,263.63 × 1,614,263.63
  4. Step 4: Simplify right side
    740,200.50x = 2,605,847,050,998.14
  5. Step 5: Solve for x
    x = 2,605,847,050,998.14/740,200.50
  6. Step 6: Final answer
    x = 3,520,461.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.