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Finding the Third Proportional to 561,932 and 839,574

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Solution

The third proportional to 561,932 and 839,574 is: 1,254,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,932 : 839,574 = 839,574 : x
  2. Step 2: Convert to fraction form
    561,932/839,574 = 839,574/x
  3. Step 3: Cross multiply
    561,932x = 839,574 × 839,574
  4. Step 4: Simplify right side
    561,932x = 704,884,501,476
  5. Step 5: Solve for x
    x = 704,884,501,476/561,932
  6. Step 6: Final answer
    x = 1,254,394.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.