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Finding the Third Proportional to 262,124 and 395,358

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Solution

The third proportional to 262,124 and 395,358 is: 596,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,124 : 395,358 = 395,358 : x
  2. Step 2: Convert to fraction form
    262,124/395,358 = 395,358/x
  3. Step 3: Cross multiply
    262,124x = 395,358 × 395,358
  4. Step 4: Simplify right side
    262,124x = 156,307,948,164
  5. Step 5: Solve for x
    x = 156,307,948,164/262,124
  6. Step 6: Final answer
    x = 596,313.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.