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Finding the Third Proportional to 265,550 and 573,358

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Solution

The third proportional to 265,550 and 573,358 is: 1,237,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,550 : 573,358 = 573,358 : x
  2. Step 2: Convert to fraction form
    265,550/573,358 = 573,358/x
  3. Step 3: Cross multiply
    265,550x = 573,358 × 573,358
  4. Step 4: Simplify right side
    265,550x = 328,739,396,164
  5. Step 5: Solve for x
    x = 328,739,396,164/265,550
  6. Step 6: Final answer
    x = 1,237,956.68

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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.