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Finding the Third Proportional to 503,925.75 and 763,884

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Solution

The third proportional to 503,925.75 and 763,884 is: 1,157,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,925.75 : 763,884 = 763,884 : x
  2. Step 2: Convert to fraction form
    503,925.75/763,884 = 763,884/x
  3. Step 3: Cross multiply
    503,925.75x = 763,884 × 763,884
  4. Step 4: Simplify right side
    503,925.75x = 583,518,765,456
  5. Step 5: Solve for x
    x = 583,518,765,456/503,925.75
  6. Step 6: Final answer
    x = 1,157,945.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.