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Finding the Third Proportional to 374,598 and 802,791

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Solution

The third proportional to 374,598 and 802,791 is: 1,720,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,598 : 802,791 = 802,791 : x
  2. Step 2: Convert to fraction form
    374,598/802,791 = 802,791/x
  3. Step 3: Cross multiply
    374,598x = 802,791 × 802,791
  4. Step 4: Simplify right side
    374,598x = 644,473,389,681
  5. Step 5: Solve for x
    x = 644,473,389,681/374,598
  6. Step 6: Final answer
    x = 1,720,440.02

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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.