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Finding the Third Proportional to 299,603 and 455,538

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Solution

The third proportional to 299,603 and 455,538 is: 692,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,603 : 455,538 = 455,538 : x
  2. Step 2: Convert to fraction form
    299,603/455,538 = 455,538/x
  3. Step 3: Cross multiply
    299,603x = 455,538 × 455,538
  4. Step 4: Simplify right side
    299,603x = 207,514,869,444
  5. Step 5: Solve for x
    x = 207,514,869,444/299,603
  6. Step 6: Final answer
    x = 692,632.82

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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.