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Finding the Third Proportional to 221,438.81 and 456,852.38

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Solution

The third proportional to 221,438.81 and 456,852.38 is: 942,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,438.81 : 456,852.38 = 456,852.38 : x
  2. Step 2: Convert to fraction form
    221,438.81/456,852.38 = 456,852.38/x
  3. Step 3: Cross multiply
    221,438.81x = 456,852.38 × 456,852.38
  4. Step 4: Simplify right side
    221,438.81x = 208,714,092,543.14
  5. Step 5: Solve for x
    x = 208,714,092,543.14/221,438.81
  6. Step 6: Final answer
    x = 942,536.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.