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Finding the Third Proportional to 354,445.88 and 538,222.22

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Solution

The third proportional to 354,445.88 and 538,222.22 is: 817,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,445.88 : 538,222.22 = 538,222.22 : x
  2. Step 2: Convert to fraction form
    354,445.88/538,222.22 = 538,222.22/x
  3. Step 3: Cross multiply
    354,445.88x = 538,222.22 × 538,222.22
  4. Step 4: Simplify right side
    354,445.88x = 289,683,156,756.17
  5. Step 5: Solve for x
    x = 289,683,156,756.17/354,445.88
  6. Step 6: Final answer
    x = 817,284.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.