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Finding the Third Proportional to 346.94 and 750.83

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Solution

The third proportional to 346.94 and 750.83 is: 1,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.94 : 750.83 = 750.83 : x
  2. Step 2: Convert to fraction form
    346.94/750.83 = 750.83/x
  3. Step 3: Cross multiply
    346.94x = 750.83 × 750.83
  4. Step 4: Simplify right side
    346.94x = 563,748.74
  5. Step 5: Solve for x
    x = 563,748.74/346.94
  6. Step 6: Final answer
    x = 1,624.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.