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Finding the Third Proportional to 345,033 and 750,816

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Solution

The third proportional to 345,033 and 750,816 is: 1,633,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,033 : 750,816 = 750,816 : x
  2. Step 2: Convert to fraction form
    345,033/750,816 = 750,816/x
  3. Step 3: Cross multiply
    345,033x = 750,816 × 750,816
  4. Step 4: Simplify right side
    345,033x = 563,724,665,856
  5. Step 5: Solve for x
    x = 563,724,665,856/345,033
  6. Step 6: Final answer
    x = 1,633,828.26

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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.