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Finding the Third Proportional to 315,864 and 701,712

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Solution

The third proportional to 315,864 and 701,712 is: 1,558,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,864 : 701,712 = 701,712 : x
  2. Step 2: Convert to fraction form
    315,864/701,712 = 701,712/x
  3. Step 3: Cross multiply
    315,864x = 701,712 × 701,712
  4. Step 4: Simplify right side
    315,864x = 492,399,730,944
  5. Step 5: Solve for x
    x = 492,399,730,944/315,864
  6. Step 6: Final answer
    x = 1,558,897.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.