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Finding the Third Proportional to 221,283 and 480,033

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Solution

The third proportional to 221,283 and 480,033 is: 1,041,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,283 : 480,033 = 480,033 : x
  2. Step 2: Convert to fraction form
    221,283/480,033 = 480,033/x
  3. Step 3: Cross multiply
    221,283x = 480,033 × 480,033
  4. Step 4: Simplify right side
    221,283x = 230,431,681,089
  5. Step 5: Solve for x
    x = 230,431,681,089/221,283
  6. Step 6: Final answer
    x = 1,041,343.80

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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.