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Finding the Third Proportional to 345,043 and 750,836

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Solution

The third proportional to 345,043 and 750,836 is: 1,633,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,043 : 750,836 = 750,836 : x
  2. Step 2: Convert to fraction form
    345,043/750,836 = 750,836/x
  3. Step 3: Cross multiply
    345,043x = 750,836 × 750,836
  4. Step 4: Simplify right side
    345,043x = 563,754,698,896
  5. Step 5: Solve for x
    x = 563,754,698,896/345,043
  6. Step 6: Final answer
    x = 1,633,867.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.