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Finding the Third Proportional to 265,494 and 573,210

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Solution

The third proportional to 265,494 and 573,210 is: 1,237,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,494 : 573,210 = 573,210 : x
  2. Step 2: Convert to fraction form
    265,494/573,210 = 573,210/x
  3. Step 3: Cross multiply
    265,494x = 573,210 × 573,210
  4. Step 4: Simplify right side
    265,494x = 328,569,704,100
  5. Step 5: Solve for x
    x = 328,569,704,100/265,494
  6. Step 6: Final answer
    x = 1,237,578.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.