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Finding the Third Proportional to 346,716 and 551,656

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Solution

The third proportional to 346,716 and 551,656 is: 877,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,716 : 551,656 = 551,656 : x
  2. Step 2: Convert to fraction form
    346,716/551,656 = 551,656/x
  3. Step 3: Cross multiply
    346,716x = 551,656 × 551,656
  4. Step 4: Simplify right side
    346,716x = 304,324,342,336
  5. Step 5: Solve for x
    x = 304,324,342,336/346,716
  6. Step 6: Final answer
    x = 877,733.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.