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Finding the Third Proportional to 355,603.50 and 771,471

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Solution

The third proportional to 355,603.50 and 771,471 is: 1,673,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,603.50 : 771,471 = 771,471 : x
  2. Step 2: Convert to fraction form
    355,603.50/771,471 = 771,471/x
  3. Step 3: Cross multiply
    355,603.50x = 771,471 × 771,471
  4. Step 4: Simplify right side
    355,603.50x = 595,167,503,841
  5. Step 5: Solve for x
    x = 595,167,503,841/355,603.50
  6. Step 6: Final answer
    x = 1,673,682.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.