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Finding the Third Proportional to 335,528 and 489,452

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Solution

The third proportional to 335,528 and 489,452 is: 713,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,528 : 489,452 = 489,452 : x
  2. Step 2: Convert to fraction form
    335,528/489,452 = 489,452/x
  3. Step 3: Cross multiply
    335,528x = 489,452 × 489,452
  4. Step 4: Simplify right side
    335,528x = 239,563,260,304
  5. Step 5: Solve for x
    x = 239,563,260,304/335,528
  6. Step 6: Final answer
    x = 713,988.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.