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Finding the Third Proportional to 328,656 and 469,656

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Solution

The third proportional to 328,656 and 469,656 is: 671,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,656 : 469,656 = 469,656 : x
  2. Step 2: Convert to fraction form
    328,656/469,656 = 469,656/x
  3. Step 3: Cross multiply
    328,656x = 469,656 × 469,656
  4. Step 4: Simplify right side
    328,656x = 220,576,758,336
  5. Step 5: Solve for x
    x = 220,576,758,336/328,656
  6. Step 6: Final answer
    x = 671,147.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.