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Finding the Third Proportional to 503,744 and 760,464

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Solution

The third proportional to 503,744 and 760,464 is: 1,148,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,744 : 760,464 = 760,464 : x
  2. Step 2: Convert to fraction form
    503,744/760,464 = 760,464/x
  3. Step 3: Cross multiply
    503,744x = 760,464 × 760,464
  4. Step 4: Simplify right side
    503,744x = 578,305,495,296
  5. Step 5: Solve for x
    x = 578,305,495,296/503,744
  6. Step 6: Final answer
    x = 1,148,014.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.