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Finding the Third Proportional to 265,354 and 572,945

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Solution

The third proportional to 265,354 and 572,945 is: 1,237,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,354 : 572,945 = 572,945 : x
  2. Step 2: Convert to fraction form
    265,354/572,945 = 572,945/x
  3. Step 3: Cross multiply
    265,354x = 572,945 × 572,945
  4. Step 4: Simplify right side
    265,354x = 328,265,973,025
  5. Step 5: Solve for x
    x = 328,265,973,025/265,354
  6. Step 6: Final answer
    x = 1,237,086.96

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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.