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Finding the Third Proportional to 360,972 and 529,146

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Solution

The third proportional to 360,972 and 529,146 is: 775,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,972 : 529,146 = 529,146 : x
  2. Step 2: Convert to fraction form
    360,972/529,146 = 529,146/x
  3. Step 3: Cross multiply
    360,972x = 529,146 × 529,146
  4. Step 4: Simplify right side
    360,972x = 279,995,489,316
  5. Step 5: Solve for x
    x = 279,995,489,316/360,972
  6. Step 6: Final answer
    x = 775,670.94

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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.