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Finding the Third Proportional to 323,973 and 704,490

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Solution

The third proportional to 323,973 and 704,490 is: 1,531,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,973 : 704,490 = 704,490 : x
  2. Step 2: Convert to fraction form
    323,973/704,490 = 704,490/x
  3. Step 3: Cross multiply
    323,973x = 704,490 × 704,490
  4. Step 4: Simplify right side
    323,973x = 496,306,160,100
  5. Step 5: Solve for x
    x = 496,306,160,100/323,973
  6. Step 6: Final answer
    x = 1,531,936.80

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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.