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Finding the Third Proportional to 346,548 and 551,366

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Solution

The third proportional to 346,548 and 551,366 is: 877,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,548 : 551,366 = 551,366 : x
  2. Step 2: Convert to fraction form
    346,548/551,366 = 551,366/x
  3. Step 3: Cross multiply
    346,548x = 551,366 × 551,366
  4. Step 4: Simplify right side
    346,548x = 304,004,465,956
  5. Step 5: Solve for x
    x = 304,004,465,956/346,548
  6. Step 6: Final answer
    x = 877,236.24

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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.