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Finding the Third Proportional to 265,495 and 573,251

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Solution

The third proportional to 265,495 and 573,251 is: 1,237,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,495 : 573,251 = 573,251 : x
  2. Step 2: Convert to fraction form
    265,495/573,251 = 573,251/x
  3. Step 3: Cross multiply
    265,495x = 573,251 × 573,251
  4. Step 4: Simplify right side
    265,495x = 328,616,709,001
  5. Step 5: Solve for x
    x = 328,616,709,001/265,495
  6. Step 6: Final answer
    x = 1,237,751.03

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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.