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Finding the Third Proportional to 567,306 and 839,757

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Solution

The third proportional to 567,306 and 839,757 is: 1,243,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,306 : 839,757 = 839,757 : x
  2. Step 2: Convert to fraction form
    567,306/839,757 = 839,757/x
  3. Step 3: Cross multiply
    567,306x = 839,757 × 839,757
  4. Step 4: Simplify right side
    567,306x = 705,191,819,049
  5. Step 5: Solve for x
    x = 705,191,819,049/567,306
  6. Step 6: Final answer
    x = 1,243,053.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.