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Finding the Third Proportional to 426,386 and 585,795

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Solution

The third proportional to 426,386 and 585,795 is: 804,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,386 : 585,795 = 585,795 : x
  2. Step 2: Convert to fraction form
    426,386/585,795 = 585,795/x
  3. Step 3: Cross multiply
    426,386x = 585,795 × 585,795
  4. Step 4: Simplify right side
    426,386x = 343,155,782,025
  5. Step 5: Solve for x
    x = 343,155,782,025/426,386
  6. Step 6: Final answer
    x = 804,800.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.