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Finding the Third Proportional to 626,967 and 914,206.50

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Solution

The third proportional to 626,967 and 914,206.50 is: 1,333,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,967 : 914,206.50 = 914,206.50 : x
  2. Step 2: Convert to fraction form
    626,967/914,206.50 = 914,206.50/x
  3. Step 3: Cross multiply
    626,967x = 914,206.50 × 914,206.50
  4. Step 4: Simplify right side
    626,967x = 835,773,524,642.25
  5. Step 5: Solve for x
    x = 835,773,524,642.25/626,967
  6. Step 6: Final answer
    x = 1,333,042.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.