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Finding the Third Proportional to 368,506 and 781,296

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Solution

The third proportional to 368,506 and 781,296 is: 1,656,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,506 : 781,296 = 781,296 : x
  2. Step 2: Convert to fraction form
    368,506/781,296 = 781,296/x
  3. Step 3: Cross multiply
    368,506x = 781,296 × 781,296
  4. Step 4: Simplify right side
    368,506x = 610,423,439,616
  5. Step 5: Solve for x
    x = 610,423,439,616/368,506
  6. Step 6: Final answer
    x = 1,656,481.68

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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.