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Finding the Third Proportional to 464,410 and 653,992

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Solution

The third proportional to 464,410 and 653,992 is: 920,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,410 : 653,992 = 653,992 : x
  2. Step 2: Convert to fraction form
    464,410/653,992 = 653,992/x
  3. Step 3: Cross multiply
    464,410x = 653,992 × 653,992
  4. Step 4: Simplify right side
    464,410x = 427,705,536,064
  5. Step 5: Solve for x
    x = 427,705,536,064/464,410
  6. Step 6: Final answer
    x = 920,965.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.