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Finding the Third Proportional to 254,159 and 529,386

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Solution

The third proportional to 254,159 and 529,386 is: 1,102,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,159 : 529,386 = 529,386 : x
  2. Step 2: Convert to fraction form
    254,159/529,386 = 529,386/x
  3. Step 3: Cross multiply
    254,159x = 529,386 × 529,386
  4. Step 4: Simplify right side
    254,159x = 280,249,536,996
  5. Step 5: Solve for x
    x = 280,249,536,996/254,159
  6. Step 6: Final answer
    x = 1,102,654.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.