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Finding the Third Proportional to 265,599 and 573,453

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Solution

The third proportional to 265,599 and 573,453 is: 1,238,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,599 : 573,453 = 573,453 : x
  2. Step 2: Convert to fraction form
    265,599/573,453 = 573,453/x
  3. Step 3: Cross multiply
    265,599x = 573,453 × 573,453
  4. Step 4: Simplify right side
    265,599x = 328,848,343,209
  5. Step 5: Solve for x
    x = 328,848,343,209/265,599
  6. Step 6: Final answer
    x = 1,238,138.48

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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.