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Finding the Third Proportional to 587,696 and 872,904

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Solution

The third proportional to 587,696 and 872,904 is: 1,296,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,696 : 872,904 = 872,904 : x
  2. Step 2: Convert to fraction form
    587,696/872,904 = 872,904/x
  3. Step 3: Cross multiply
    587,696x = 872,904 × 872,904
  4. Step 4: Simplify right side
    587,696x = 761,961,393,216
  5. Step 5: Solve for x
    x = 761,961,393,216/587,696
  6. Step 6: Final answer
    x = 1,296,523.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.