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Finding the Third Proportional to 255,064 and 595,736

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Solution

The third proportional to 255,064 and 595,736 is: 1,391,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,064 : 595,736 = 595,736 : x
  2. Step 2: Convert to fraction form
    255,064/595,736 = 595,736/x
  3. Step 3: Cross multiply
    255,064x = 595,736 × 595,736
  4. Step 4: Simplify right side
    255,064x = 354,901,381,696
  5. Step 5: Solve for x
    x = 354,901,381,696/255,064
  6. Step 6: Final answer
    x = 1,391,420.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.