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Finding the Third Proportional to 355,206.75 and 761,079

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Solution

The third proportional to 355,206.75 and 761,079 is: 1,630,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,206.75 : 761,079 = 761,079 : x
  2. Step 2: Convert to fraction form
    355,206.75/761,079 = 761,079/x
  3. Step 3: Cross multiply
    355,206.75x = 761,079 × 761,079
  4. Step 4: Simplify right side
    355,206.75x = 579,241,244,241
  5. Step 5: Solve for x
    x = 579,241,244,241/355,206.75
  6. Step 6: Final answer
    x = 1,630,715.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.