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Finding the Third Proportional to 360,974 and 529,148

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Solution

The third proportional to 360,974 and 529,148 is: 775,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,974 : 529,148 = 529,148 : x
  2. Step 2: Convert to fraction form
    360,974/529,148 = 529,148/x
  3. Step 3: Cross multiply
    360,974x = 529,148 × 529,148
  4. Step 4: Simplify right side
    360,974x = 279,997,605,904
  5. Step 5: Solve for x
    x = 279,997,605,904/360,974
  6. Step 6: Final answer
    x = 775,672.50

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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.