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Finding the Third Proportional to 265,694 and 574,804

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Solution

The third proportional to 265,694 and 574,804 is: 1,243,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,694 : 574,804 = 574,804 : x
  2. Step 2: Convert to fraction form
    265,694/574,804 = 574,804/x
  3. Step 3: Cross multiply
    265,694x = 574,804 × 574,804
  4. Step 4: Simplify right side
    265,694x = 330,399,638,416
  5. Step 5: Solve for x
    x = 330,399,638,416/265,694
  6. Step 6: Final answer
    x = 1,243,534.44

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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.