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Finding the Third Proportional to 254,734 and 553,693

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Solution

The third proportional to 254,734 and 553,693 is: 1,203,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,734 : 553,693 = 553,693 : x
  2. Step 2: Convert to fraction form
    254,734/553,693 = 553,693/x
  3. Step 3: Cross multiply
    254,734x = 553,693 × 553,693
  4. Step 4: Simplify right side
    254,734x = 306,575,938,249
  5. Step 5: Solve for x
    x = 306,575,938,249/254,734
  6. Step 6: Final answer
    x = 1,203,514.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.