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Finding the Third Proportional to 352,211 and 749,967

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Solution

The third proportional to 352,211 and 749,967 is: 1,596,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,211 : 749,967 = 749,967 : x
  2. Step 2: Convert to fraction form
    352,211/749,967 = 749,967/x
  3. Step 3: Cross multiply
    352,211x = 749,967 × 749,967
  4. Step 4: Simplify right side
    352,211x = 562,450,501,089
  5. Step 5: Solve for x
    x = 562,450,501,089/352,211
  6. Step 6: Final answer
    x = 1,596,913.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.