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Finding the Third Proportional to 323,316 and 704,538

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Solution

The third proportional to 323,316 and 704,538 is: 1,535,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,316 : 704,538 = 704,538 : x
  2. Step 2: Convert to fraction form
    323,316/704,538 = 704,538/x
  3. Step 3: Cross multiply
    323,316x = 704,538 × 704,538
  4. Step 4: Simplify right side
    323,316x = 496,373,793,444
  5. Step 5: Solve for x
    x = 496,373,793,444/323,316
  6. Step 6: Final answer
    x = 1,535,258.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.