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Finding the Third Proportional to 374,634 and 802,863

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Solution

The third proportional to 374,634 and 802,863 is: 1,720,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,634 : 802,863 = 802,863 : x
  2. Step 2: Convert to fraction form
    374,634/802,863 = 802,863/x
  3. Step 3: Cross multiply
    374,634x = 802,863 × 802,863
  4. Step 4: Simplify right side
    374,634x = 644,588,996,769
  5. Step 5: Solve for x
    x = 644,588,996,769/374,634
  6. Step 6: Final answer
    x = 1,720,583.28

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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.