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Finding the Third Proportional to 614,688 and 949,296

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Solution

The third proportional to 614,688 and 949,296 is: 1,466,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,688 : 949,296 = 949,296 : x
  2. Step 2: Convert to fraction form
    614,688/949,296 = 949,296/x
  3. Step 3: Cross multiply
    614,688x = 949,296 × 949,296
  4. Step 4: Simplify right side
    614,688x = 901,162,895,616
  5. Step 5: Solve for x
    x = 901,162,895,616/614,688
  6. Step 6: Final answer
    x = 1,466,049.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.