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Finding the Third Proportional to 364,324 and 746,792

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Solution

The third proportional to 364,324 and 746,792 is: 1,530,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,324 : 746,792 = 746,792 : x
  2. Step 2: Convert to fraction form
    364,324/746,792 = 746,792/x
  3. Step 3: Cross multiply
    364,324x = 746,792 × 746,792
  4. Step 4: Simplify right side
    364,324x = 557,698,291,264
  5. Step 5: Solve for x
    x = 557,698,291,264/364,324
  6. Step 6: Final answer
    x = 1,530,775.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.