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Finding the Third Proportional to 448,518.66 and 959,275.69

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Solution

The third proportional to 448,518.66 and 959,275.69 is: 2,051,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,518.66 : 959,275.69 = 959,275.69 : x
  2. Step 2: Convert to fraction form
    448,518.66/959,275.69 = 959,275.69/x
  3. Step 3: Cross multiply
    448,518.66x = 959,275.69 × 959,275.69
  4. Step 4: Simplify right side
    448,518.66x = 920,209,844,628.60
  5. Step 5: Solve for x
    x = 920,209,844,628.60/448,518.66
  6. Step 6: Final answer
    x = 2,051,664.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.