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Finding the Third Proportional to 374,640 and 802,875

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Solution

The third proportional to 374,640 and 802,875 is: 1,720,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,640 : 802,875 = 802,875 : x
  2. Step 2: Convert to fraction form
    374,640/802,875 = 802,875/x
  3. Step 3: Cross multiply
    374,640x = 802,875 × 802,875
  4. Step 4: Simplify right side
    374,640x = 644,608,265,625
  5. Step 5: Solve for x
    x = 644,608,265,625/374,640
  6. Step 6: Final answer
    x = 1,720,607.16

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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.