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Finding the Third Proportional to 363,260 and 566,964

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Solution

The third proportional to 363,260 and 566,964 is: 884,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,260 : 566,964 = 566,964 : x
  2. Step 2: Convert to fraction form
    363,260/566,964 = 566,964/x
  3. Step 3: Cross multiply
    363,260x = 566,964 × 566,964
  4. Step 4: Simplify right side
    363,260x = 321,448,177,296
  5. Step 5: Solve for x
    x = 321,448,177,296/363,260
  6. Step 6: Final answer
    x = 884,898.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.