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Finding the Third Proportional to 614,724 and 949,350

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Solution

The third proportional to 614,724 and 949,350 is: 1,466,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,724 : 949,350 = 949,350 : x
  2. Step 2: Convert to fraction form
    614,724/949,350 = 949,350/x
  3. Step 3: Cross multiply
    614,724x = 949,350 × 949,350
  4. Step 4: Simplify right side
    614,724x = 901,265,422,500
  5. Step 5: Solve for x
    x = 901,265,422,500/614,724
  6. Step 6: Final answer
    x = 1,466,130.20

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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.