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Finding the Third Proportional to 254,157 and 529,382

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Solution

The third proportional to 254,157 and 529,382 is: 1,102,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,157 : 529,382 = 529,382 : x
  2. Step 2: Convert to fraction form
    254,157/529,382 = 529,382/x
  3. Step 3: Cross multiply
    254,157x = 529,382 × 529,382
  4. Step 4: Simplify right side
    254,157x = 280,245,301,924
  5. Step 5: Solve for x
    x = 280,245,301,924/254,157
  6. Step 6: Final answer
    x = 1,102,646.40

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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.