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Finding the Third Proportional to 352,218 and 761,862

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Solution

The third proportional to 352,218 and 761,862 is: 1,647,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,218 : 761,862 = 761,862 : x
  2. Step 2: Convert to fraction form
    352,218/761,862 = 761,862/x
  3. Step 3: Cross multiply
    352,218x = 761,862 × 761,862
  4. Step 4: Simplify right side
    352,218x = 580,433,707,044
  5. Step 5: Solve for x
    x = 580,433,707,044/352,218
  6. Step 6: Final answer
    x = 1,647,938.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.