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Finding the Third Proportional to 316,145 and 474,222

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Solution

The third proportional to 316,145 and 474,222 is: 711,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,145 : 474,222 = 474,222 : x
  2. Step 2: Convert to fraction form
    316,145/474,222 = 474,222/x
  3. Step 3: Cross multiply
    316,145x = 474,222 × 474,222
  4. Step 4: Simplify right side
    316,145x = 224,886,505,284
  5. Step 5: Solve for x
    x = 224,886,505,284/316,145
  6. Step 6: Final answer
    x = 711,339.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.