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Finding the Third Proportional to 353,327 and 531,935.50

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Solution

The third proportional to 353,327 and 531,935.50 is: 800,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,327 : 531,935.50 = 531,935.50 : x
  2. Step 2: Convert to fraction form
    353,327/531,935.50 = 531,935.50/x
  3. Step 3: Cross multiply
    353,327x = 531,935.50 × 531,935.50
  4. Step 4: Simplify right side
    353,327x = 282,955,376,160.25
  5. Step 5: Solve for x
    x = 282,955,376,160.25/353,327
  6. Step 6: Final answer
    x = 800,831.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.