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Finding the Third Proportional to 225,762 and 490,444.50

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Solution

The third proportional to 225,762 and 490,444.50 is: 1,065,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,762 : 490,444.50 = 490,444.50 : x
  2. Step 2: Convert to fraction form
    225,762/490,444.50 = 490,444.50/x
  3. Step 3: Cross multiply
    225,762x = 490,444.50 × 490,444.50
  4. Step 4: Simplify right side
    225,762x = 240,535,807,580.25
  5. Step 5: Solve for x
    x = 240,535,807,580.25/225,762
  6. Step 6: Final answer
    x = 1,065,439.74

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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.