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Finding the Third Proportional to 343,558 and 534,969

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Solution

The third proportional to 343,558 and 534,969 is: 833,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,558 : 534,969 = 534,969 : x
  2. Step 2: Convert to fraction form
    343,558/534,969 = 534,969/x
  3. Step 3: Cross multiply
    343,558x = 534,969 × 534,969
  4. Step 4: Simplify right side
    343,558x = 286,191,830,961
  5. Step 5: Solve for x
    x = 286,191,830,961/343,558
  6. Step 6: Final answer
    x = 833,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.