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Finding the Third Proportional to 503,904 and 763,854

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Solution

The third proportional to 503,904 and 763,854 is: 1,157,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,904 : 763,854 = 763,854 : x
  2. Step 2: Convert to fraction form
    503,904/763,854 = 763,854/x
  3. Step 3: Cross multiply
    503,904x = 763,854 × 763,854
  4. Step 4: Simplify right side
    503,904x = 583,472,933,316
  5. Step 5: Solve for x
    x = 583,472,933,316/503,904
  6. Step 6: Final answer
    x = 1,157,904.94

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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.