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Finding the Third Proportional to 229,608 and 503,604

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Solution

The third proportional to 229,608 and 503,604 is: 1,104,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,608 : 503,604 = 503,604 : x
  2. Step 2: Convert to fraction form
    229,608/503,604 = 503,604/x
  3. Step 3: Cross multiply
    229,608x = 503,604 × 503,604
  4. Step 4: Simplify right side
    229,608x = 253,616,988,816
  5. Step 5: Solve for x
    x = 253,616,988,816/229,608
  6. Step 6: Final answer
    x = 1,104,565.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.