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Finding the Third Proportional to 355,599 and 771,462

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Solution

The third proportional to 355,599 and 771,462 is: 1,673,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,599 : 771,462 = 771,462 : x
  2. Step 2: Convert to fraction form
    355,599/771,462 = 771,462/x
  3. Step 3: Cross multiply
    355,599x = 771,462 × 771,462
  4. Step 4: Simplify right side
    355,599x = 595,153,617,444
  5. Step 5: Solve for x
    x = 595,153,617,444/355,599
  6. Step 6: Final answer
    x = 1,673,665.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.