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Finding the Third Proportional to 403,112 and 595,440

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Solution

The third proportional to 403,112 and 595,440 is: 879,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,112 : 595,440 = 595,440 : x
  2. Step 2: Convert to fraction form
    403,112/595,440 = 595,440/x
  3. Step 3: Cross multiply
    403,112x = 595,440 × 595,440
  4. Step 4: Simplify right side
    403,112x = 354,548,793,600
  5. Step 5: Solve for x
    x = 354,548,793,600/403,112
  6. Step 6: Final answer
    x = 879,529.25

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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.