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Finding the Third Proportional to 374,656 and 802,904

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Solution

The third proportional to 374,656 and 802,904 is: 1,720,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,656 : 802,904 = 802,904 : x
  2. Step 2: Convert to fraction form
    374,656/802,904 = 802,904/x
  3. Step 3: Cross multiply
    374,656x = 802,904 × 802,904
  4. Step 4: Simplify right side
    374,656x = 644,654,833,216
  5. Step 5: Solve for x
    x = 644,654,833,216/374,656
  6. Step 6: Final answer
    x = 1,720,657.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.