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Finding the Third Proportional to 258,030 and 547,386

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Solution

The third proportional to 258,030 and 547,386 is: 1,161,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,030 : 547,386 = 547,386 : x
  2. Step 2: Convert to fraction form
    258,030/547,386 = 547,386/x
  3. Step 3: Cross multiply
    258,030x = 547,386 × 547,386
  4. Step 4: Simplify right side
    258,030x = 299,631,432,996
  5. Step 5: Solve for x
    x = 299,631,432,996/258,030
  6. Step 6: Final answer
    x = 1,161,227.12

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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.