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Finding the Third Proportional to 369,468 and 595,003

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Solution

The third proportional to 369,468 and 595,003 is: 958,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,468 : 595,003 = 595,003 : x
  2. Step 2: Convert to fraction form
    369,468/595,003 = 595,003/x
  3. Step 3: Cross multiply
    369,468x = 595,003 × 595,003
  4. Step 4: Simplify right side
    369,468x = 354,028,570,009
  5. Step 5: Solve for x
    x = 354,028,570,009/369,468
  6. Step 6: Final answer
    x = 958,211.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.