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Finding the Third Proportional to 402,338 and 604,515

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Solution

The third proportional to 402,338 and 604,515 is: 908,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,338 : 604,515 = 604,515 : x
  2. Step 2: Convert to fraction form
    402,338/604,515 = 604,515/x
  3. Step 3: Cross multiply
    402,338x = 604,515 × 604,515
  4. Step 4: Simplify right side
    402,338x = 365,438,385,225
  5. Step 5: Solve for x
    x = 365,438,385,225/402,338
  6. Step 6: Final answer
    x = 908,287.03

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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.