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Finding the Third Proportional to 335,585 and 654,160

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Solution

The third proportional to 335,585 and 654,160 is: 1,275,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,585 : 654,160 = 654,160 : x
  2. Step 2: Convert to fraction form
    335,585/654,160 = 654,160/x
  3. Step 3: Cross multiply
    335,585x = 654,160 × 654,160
  4. Step 4: Simplify right side
    335,585x = 427,925,305,600
  5. Step 5: Solve for x
    x = 427,925,305,600/335,585
  6. Step 6: Final answer
    x = 1,275,162.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.