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Finding the Third Proportional to 265,478 and 573,220

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Solution

The third proportional to 265,478 and 573,220 is: 1,237,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,478 : 573,220 = 573,220 : x
  2. Step 2: Convert to fraction form
    265,478/573,220 = 573,220/x
  3. Step 3: Cross multiply
    265,478x = 573,220 × 573,220
  4. Step 4: Simplify right side
    265,478x = 328,581,168,400
  5. Step 5: Solve for x
    x = 328,581,168,400/265,478
  6. Step 6: Final answer
    x = 1,237,696.41

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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.