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Finding the Third Proportional to 357,228 and 763,569

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Solution

The third proportional to 357,228 and 763,569 is: 1,632,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228 : 763,569 = 763,569 : x
  2. Step 2: Convert to fraction form
    357,228/763,569 = 763,569/x
  3. Step 3: Cross multiply
    357,228x = 763,569 × 763,569
  4. Step 4: Simplify right side
    357,228x = 583,037,617,761
  5. Step 5: Solve for x
    x = 583,037,617,761/357,228
  6. Step 6: Final answer
    x = 1,632,116.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.