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Finding the Third Proportional to 369,599 and 794,411

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Solution

The third proportional to 369,599 and 794,411 is: 1,707,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,599 : 794,411 = 794,411 : x
  2. Step 2: Convert to fraction form
    369,599/794,411 = 794,411/x
  3. Step 3: Cross multiply
    369,599x = 794,411 × 794,411
  4. Step 4: Simplify right side
    369,599x = 631,088,836,921
  5. Step 5: Solve for x
    x = 631,088,836,921/369,599
  6. Step 6: Final answer
    x = 1,707,496.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.