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Finding the Third Proportional to 289,424 and 452,656

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Solution

The third proportional to 289,424 and 452,656 is: 707,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,424 : 452,656 = 452,656 : x
  2. Step 2: Convert to fraction form
    289,424/452,656 = 452,656/x
  3. Step 3: Cross multiply
    289,424x = 452,656 × 452,656
  4. Step 4: Simplify right side
    289,424x = 204,897,454,336
  5. Step 5: Solve for x
    x = 204,897,454,336/289,424
  6. Step 6: Final answer
    x = 707,949.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.