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Finding the Third Proportional to 407,850 and 881,334

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Solution

The third proportional to 407,850 and 881,334 is: 1,904,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850 : 881,334 = 881,334 : x
  2. Step 2: Convert to fraction form
    407,850/881,334 = 881,334/x
  3. Step 3: Cross multiply
    407,850x = 881,334 × 881,334
  4. Step 4: Simplify right side
    407,850x = 776,749,619,556
  5. Step 5: Solve for x
    x = 776,749,619,556/407,850
  6. Step 6: Final answer
    x = 1,904,498.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.