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Finding the Third Proportional to 257,985 and 547,191

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Solution

The third proportional to 257,985 and 547,191 is: 1,160,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,985 : 547,191 = 547,191 : x
  2. Step 2: Convert to fraction form
    257,985/547,191 = 547,191/x
  3. Step 3: Cross multiply
    257,985x = 547,191 × 547,191
  4. Step 4: Simplify right side
    257,985x = 299,417,990,481
  5. Step 5: Solve for x
    x = 299,417,990,481/257,985
  6. Step 6: Final answer
    x = 1,160,602.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.