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Finding the Third Proportional to 335,646 and 469,284

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Solution

The third proportional to 335,646 and 469,284 is: 656,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,646 : 469,284 = 469,284 : x
  2. Step 2: Convert to fraction form
    335,646/469,284 = 469,284/x
  3. Step 3: Cross multiply
    335,646x = 469,284 × 469,284
  4. Step 4: Simplify right side
    335,646x = 220,227,472,656
  5. Step 5: Solve for x
    x = 220,227,472,656/335,646
  6. Step 6: Final answer
    x = 656,130.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.