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Finding the Third Proportional to 343,924 and 531,438

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Solution

The third proportional to 343,924 and 531,438 is: 821,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,924 : 531,438 = 531,438 : x
  2. Step 2: Convert to fraction form
    343,924/531,438 = 531,438/x
  3. Step 3: Cross multiply
    343,924x = 531,438 × 531,438
  4. Step 4: Simplify right side
    343,924x = 282,426,347,844
  5. Step 5: Solve for x
    x = 282,426,347,844/343,924
  6. Step 6: Final answer
    x = 821,188.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.