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Finding the Third Proportional to 305,364 and 401,552

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Solution

The third proportional to 305,364 and 401,552 is: 528,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,364 : 401,552 = 401,552 : x
  2. Step 2: Convert to fraction form
    305,364/401,552 = 401,552/x
  3. Step 3: Cross multiply
    305,364x = 401,552 × 401,552
  4. Step 4: Simplify right side
    305,364x = 161,244,008,704
  5. Step 5: Solve for x
    x = 161,244,008,704/305,364
  6. Step 6: Final answer
    x = 528,038.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.