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Finding the Third Proportional to 463,338 and 849,780

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Solution

The third proportional to 463,338 and 849,780 is: 1,558,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,338 : 849,780 = 849,780 : x
  2. Step 2: Convert to fraction form
    463,338/849,780 = 849,780/x
  3. Step 3: Cross multiply
    463,338x = 849,780 × 849,780
  4. Step 4: Simplify right side
    463,338x = 722,126,048,400
  5. Step 5: Solve for x
    x = 722,126,048,400/463,338
  6. Step 6: Final answer
    x = 1,558,529.73

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.