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Finding the Third Proportional to 270,257 and 625,574

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Solution

The third proportional to 270,257 and 625,574 is: 1,448,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,257 : 625,574 = 625,574 : x
  2. Step 2: Convert to fraction form
    270,257/625,574 = 625,574/x
  3. Step 3: Cross multiply
    270,257x = 625,574 × 625,574
  4. Step 4: Simplify right side
    270,257x = 391,342,829,476
  5. Step 5: Solve for x
    x = 391,342,829,476/270,257
  6. Step 6: Final answer
    x = 1,448,039.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.