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Finding the Third Proportional to 352,772 and 546,396

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Solution

The third proportional to 352,772 and 546,396 is: 846,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,772 : 546,396 = 546,396 : x
  2. Step 2: Convert to fraction form
    352,772/546,396 = 546,396/x
  3. Step 3: Cross multiply
    352,772x = 546,396 × 546,396
  4. Step 4: Simplify right side
    352,772x = 298,548,588,816
  5. Step 5: Solve for x
    x = 298,548,588,816/352,772
  6. Step 6: Final answer
    x = 846,293.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.