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Finding the Third Proportional to 352,288 and 528,504

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Solution

The third proportional to 352,288 and 528,504 is: 792,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,288 : 528,504 = 528,504 : x
  2. Step 2: Convert to fraction form
    352,288/528,504 = 528,504/x
  3. Step 3: Cross multiply
    352,288x = 528,504 × 528,504
  4. Step 4: Simplify right side
    352,288x = 279,316,478,016
  5. Step 5: Solve for x
    x = 279,316,478,016/352,288
  6. Step 6: Final answer
    x = 792,864.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.