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Finding the Third Proportional to 310,216.08 and 474,250.10

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Solution

The third proportional to 310,216.08 and 474,250.10 is: 725,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,216.08 : 474,250.10 = 474,250.10 : x
  2. Step 2: Convert to fraction form
    310,216.08/474,250.10 = 474,250.10/x
  3. Step 3: Cross multiply
    310,216.08x = 474,250.10 × 474,250.10
  4. Step 4: Simplify right side
    310,216.08x = 224,913,153,274.42
  5. Step 5: Solve for x
    x = 224,913,153,274.42/310,216.08
  6. Step 6: Final answer
    x = 725,020.94

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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.