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Finding the Third Proportional to 252,594 and 557,888

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Solution

The third proportional to 252,594 and 557,888 is: 1,232,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,594 : 557,888 = 557,888 : x
  2. Step 2: Convert to fraction form
    252,594/557,888 = 557,888/x
  3. Step 3: Cross multiply
    252,594x = 557,888 × 557,888
  4. Step 4: Simplify right side
    252,594x = 311,239,020,544
  5. Step 5: Solve for x
    x = 311,239,020,544/252,594
  6. Step 6: Final answer
    x = 1,232,171.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.