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Finding the Third Proportional to 403,202 and 600,915

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Solution

The third proportional to 403,202 and 600,915 is: 895,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,202 : 600,915 = 600,915 : x
  2. Step 2: Convert to fraction form
    403,202/600,915 = 600,915/x
  3. Step 3: Cross multiply
    403,202x = 600,915 × 600,915
  4. Step 4: Simplify right side
    403,202x = 361,098,837,225
  5. Step 5: Solve for x
    x = 361,098,837,225/403,202
  6. Step 6: Final answer
    x = 895,577.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.