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Finding the Third Proportional to 614,700 and 949,314

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Solution

The third proportional to 614,700 and 949,314 is: 1,466,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,700 : 949,314 = 949,314 : x
  2. Step 2: Convert to fraction form
    614,700/949,314 = 949,314/x
  3. Step 3: Cross multiply
    614,700x = 949,314 × 949,314
  4. Step 4: Simplify right side
    614,700x = 901,197,070,596
  5. Step 5: Solve for x
    x = 901,197,070,596/614,700
  6. Step 6: Final answer
    x = 1,466,076.25

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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.