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Finding the Third Proportional to 426,088 and 613,788

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Solution

The third proportional to 426,088 and 613,788 is: 884,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,088 : 613,788 = 613,788 : x
  2. Step 2: Convert to fraction form
    426,088/613,788 = 613,788/x
  3. Step 3: Cross multiply
    426,088x = 613,788 × 613,788
  4. Step 4: Simplify right side
    426,088x = 376,735,708,944
  5. Step 5: Solve for x
    x = 376,735,708,944/426,088
  6. Step 6: Final answer
    x = 884,173.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.