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Finding the Third Proportional to 323,658 and 704,052

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Solution

The third proportional to 323,658 and 704,052 is: 1,531,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,658 : 704,052 = 704,052 : x
  2. Step 2: Convert to fraction form
    323,658/704,052 = 704,052/x
  3. Step 3: Cross multiply
    323,658x = 704,052 × 704,052
  4. Step 4: Simplify right side
    323,658x = 495,689,218,704
  5. Step 5: Solve for x
    x = 495,689,218,704/323,658
  6. Step 6: Final answer
    x = 1,531,521.60

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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.