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Finding the Third Proportional to 265,884 and 574,023

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Solution

The third proportional to 265,884 and 574,023 is: 1,239,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884 : 574,023 = 574,023 : x
  2. Step 2: Convert to fraction form
    265,884/574,023 = 574,023/x
  3. Step 3: Cross multiply
    265,884x = 574,023 × 574,023
  4. Step 4: Simplify right side
    265,884x = 329,502,404,529
  5. Step 5: Solve for x
    x = 329,502,404,529/265,884
  6. Step 6: Final answer
    x = 1,239,271.28

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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.