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Finding the Third Proportional to 546,328 and 857,030

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Solution

The third proportional to 546,328 and 857,030 is: 1,344,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,328 : 857,030 = 857,030 : x
  2. Step 2: Convert to fraction form
    546,328/857,030 = 857,030/x
  3. Step 3: Cross multiply
    546,328x = 857,030 × 857,030
  4. Step 4: Simplify right side
    546,328x = 734,500,420,900
  5. Step 5: Solve for x
    x = 734,500,420,900/546,328
  6. Step 6: Final answer
    x = 1,344,431.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.