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Finding the Third Proportional to 360,972 and 529,145

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Solution

The third proportional to 360,972 and 529,145 is: 775,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,972 : 529,145 = 529,145 : x
  2. Step 2: Convert to fraction form
    360,972/529,145 = 529,145/x
  3. Step 3: Cross multiply
    360,972x = 529,145 × 529,145
  4. Step 4: Simplify right side
    360,972x = 279,994,431,025
  5. Step 5: Solve for x
    x = 279,994,431,025/360,972
  6. Step 6: Final answer
    x = 775,668.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.