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Finding the Third Proportional to 295,626 and 525,588

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Solution

The third proportional to 295,626 and 525,588 is: 934,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,626 : 525,588 = 525,588 : x
  2. Step 2: Convert to fraction form
    295,626/525,588 = 525,588/x
  3. Step 3: Cross multiply
    295,626x = 525,588 × 525,588
  4. Step 4: Simplify right side
    295,626x = 276,242,745,744
  5. Step 5: Solve for x
    x = 276,242,745,744/295,626
  6. Step 6: Final answer
    x = 934,433.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.