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Finding the Third Proportional to 312,652 and 484,423

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Solution

The third proportional to 312,652 and 484,423 is: 750,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,652 : 484,423 = 484,423 : x
  2. Step 2: Convert to fraction form
    312,652/484,423 = 484,423/x
  3. Step 3: Cross multiply
    312,652x = 484,423 × 484,423
  4. Step 4: Simplify right side
    312,652x = 234,665,642,929
  5. Step 5: Solve for x
    x = 234,665,642,929/312,652
  6. Step 6: Final answer
    x = 750,564.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.