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Finding the Third Proportional to 382,403 and 607,352

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Solution

The third proportional to 382,403 and 607,352 is: 964,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,403 : 607,352 = 607,352 : x
  2. Step 2: Convert to fraction form
    382,403/607,352 = 607,352/x
  3. Step 3: Cross multiply
    382,403x = 607,352 × 607,352
  4. Step 4: Simplify right side
    382,403x = 368,876,451,904
  5. Step 5: Solve for x
    x = 368,876,451,904/382,403
  6. Step 6: Final answer
    x = 964,627.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.