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Finding the Third Proportional to 363,102 and 559,964

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Solution

The third proportional to 363,102 and 559,964 is: 863,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,102 : 559,964 = 559,964 : x
  2. Step 2: Convert to fraction form
    363,102/559,964 = 559,964/x
  3. Step 3: Cross multiply
    363,102x = 559,964 × 559,964
  4. Step 4: Simplify right side
    363,102x = 313,559,681,296
  5. Step 5: Solve for x
    x = 313,559,681,296/363,102
  6. Step 6: Final answer
    x = 863,558.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.