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Finding the Third Proportional to 353,288 and 528,588

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Solution

The third proportional to 353,288 and 528,588 is: 790,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,288 : 528,588 = 528,588 : x
  2. Step 2: Convert to fraction form
    353,288/528,588 = 528,588/x
  3. Step 3: Cross multiply
    353,288x = 528,588 × 528,588
  4. Step 4: Simplify right side
    353,288x = 279,405,273,744
  5. Step 5: Solve for x
    x = 279,405,273,744/353,288
  6. Step 6: Final answer
    x = 790,871.11

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