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Finding the Third Proportional to 463,335 and 739,968

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Solution

The third proportional to 463,335 and 739,968 is: 1,181,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,335 : 739,968 = 739,968 : x
  2. Step 2: Convert to fraction form
    463,335/739,968 = 739,968/x
  3. Step 3: Cross multiply
    463,335x = 739,968 × 739,968
  4. Step 4: Simplify right side
    463,335x = 547,552,641,024
  5. Step 5: Solve for x
    x = 547,552,641,024/463,335
  6. Step 6: Final answer
    x = 1,181,764.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.