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Finding the Third Proportional to 252,957 and 559,473

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Solution

The third proportional to 252,957 and 559,473 is: 1,237,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,957 : 559,473 = 559,473 : x
  2. Step 2: Convert to fraction form
    252,957/559,473 = 559,473/x
  3. Step 3: Cross multiply
    252,957x = 559,473 × 559,473
  4. Step 4: Simplify right side
    252,957x = 313,010,037,729
  5. Step 5: Solve for x
    x = 313,010,037,729/252,957
  6. Step 6: Final answer
    x = 1,237,404.13

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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.