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Finding the Third Proportional to 343,564 and 534,976

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Solution

The third proportional to 343,564 and 534,976 is: 833,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,564 : 534,976 = 534,976 : x
  2. Step 2: Convert to fraction form
    343,564/534,976 = 534,976/x
  3. Step 3: Cross multiply
    343,564x = 534,976 × 534,976
  4. Step 4: Simplify right side
    343,564x = 286,199,320,576
  5. Step 5: Solve for x
    x = 286,199,320,576/343,564
  6. Step 6: Final answer
    x = 833,030.59

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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.