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Finding the Third Proportional to 239,810 and 525,304

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Solution

The third proportional to 239,810 and 525,304 is: 1,150,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,810 : 525,304 = 525,304 : x
  2. Step 2: Convert to fraction form
    239,810/525,304 = 525,304/x
  3. Step 3: Cross multiply
    239,810x = 525,304 × 525,304
  4. Step 4: Simplify right side
    239,810x = 275,944,292,416
  5. Step 5: Solve for x
    x = 275,944,292,416/239,810
  6. Step 6: Final answer
    x = 1,150,678.84

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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.