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Finding the Third Proportional to 283,632 and 604,808

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Solution

The third proportional to 283,632 and 604,808 is: 1,289,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,632 : 604,808 = 604,808 : x
  2. Step 2: Convert to fraction form
    283,632/604,808 = 604,808/x
  3. Step 3: Cross multiply
    283,632x = 604,808 × 604,808
  4. Step 4: Simplify right side
    283,632x = 365,792,716,864
  5. Step 5: Solve for x
    x = 365,792,716,864/283,632
  6. Step 6: Final answer
    x = 1,289,673.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.