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Finding the Third Proportional to 594.94 and 912.66

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Solution

The third proportional to 594.94 and 912.66 is: 1,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.94 : 912.66 = 912.66 : x
  2. Step 2: Convert to fraction form
    594.94/912.66 = 912.66/x
  3. Step 3: Cross multiply
    594.94x = 912.66 × 912.66
  4. Step 4: Simplify right side
    594.94x = 832,941.43
  5. Step 5: Solve for x
    x = 832,941.43/594.94
  6. Step 6: Final answer
    x = 1,400.05

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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.