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Finding the Third Proportional to 352,425,144 and 746,862,255

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Solution

The third proportional to 352,425,144 and 746,862,255 is: 1,582,756,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,425,144 : 746,862,255 = 746,862,255 : x
  2. Step 2: Convert to fraction form
    352,425,144/746,862,255 = 746,862,255/x
  3. Step 3: Cross multiply
    352,425,144x = 746,862,255 × 746,862,255
  4. Step 4: Simplify right side
    352,425,144x = 557,803,227,943,685,056
  5. Step 5: Solve for x
    x = 557,803,227,943,685,056/352,425,144
  6. Step 6: Final answer
    x = 1,582,756,614.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.