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Finding the Third Proportional to 374,850 and 535,662

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Solution

The third proportional to 374,850 and 535,662 is: 765,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,850 : 535,662 = 535,662 : x
  2. Step 2: Convert to fraction form
    374,850/535,662 = 535,662/x
  3. Step 3: Cross multiply
    374,850x = 535,662 × 535,662
  4. Step 4: Simplify right side
    374,850x = 286,933,778,244
  5. Step 5: Solve for x
    x = 286,933,778,244/374,850
  6. Step 6: Final answer
    x = 765,462.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.