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Finding the Third Proportional to 403,280 and 595,722

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Solution

The third proportional to 403,280 and 595,722 is: 879,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,280 : 595,722 = 595,722 : x
  2. Step 2: Convert to fraction form
    403,280/595,722 = 595,722/x
  3. Step 3: Cross multiply
    403,280x = 595,722 × 595,722
  4. Step 4: Simplify right side
    403,280x = 354,884,701,284
  5. Step 5: Solve for x
    x = 354,884,701,284/403,280
  6. Step 6: Final answer
    x = 879,995.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.