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Finding the Third Proportional to 503,721 and 760,434

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Solution

The third proportional to 503,721 and 760,434 is: 1,147,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,721 : 760,434 = 760,434 : x
  2. Step 2: Convert to fraction form
    503,721/760,434 = 760,434/x
  3. Step 3: Cross multiply
    503,721x = 760,434 × 760,434
  4. Step 4: Simplify right side
    503,721x = 578,259,868,356
  5. Step 5: Solve for x
    x = 578,259,868,356/503,721
  6. Step 6: Final answer
    x = 1,147,976.50

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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.