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Finding the Third Proportional to 548,324 and 838,038

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Solution

The third proportional to 548,324 and 838,038 is: 1,280,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,324 : 838,038 = 838,038 : x
  2. Step 2: Convert to fraction form
    548,324/838,038 = 838,038/x
  3. Step 3: Cross multiply
    548,324x = 838,038 × 838,038
  4. Step 4: Simplify right side
    548,324x = 702,307,689,444
  5. Step 5: Solve for x
    x = 702,307,689,444/548,324
  6. Step 6: Final answer
    x = 1,280,826.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.