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Finding the Third Proportional to 322,904 and 705,712

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Solution

The third proportional to 322,904 and 705,712 is: 1,542,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,904 : 705,712 = 705,712 : x
  2. Step 2: Convert to fraction form
    322,904/705,712 = 705,712/x
  3. Step 3: Cross multiply
    322,904x = 705,712 × 705,712
  4. Step 4: Simplify right side
    322,904x = 498,029,426,944
  5. Step 5: Solve for x
    x = 498,029,426,944/322,904
  6. Step 6: Final answer
    x = 1,542,345.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.