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Finding the Third Proportional to 594.61 and 946.95

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Solution

The third proportional to 594.61 and 946.95 is: 1,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.61 : 946.95 = 946.95 : x
  2. Step 2: Convert to fraction form
    594.61/946.95 = 946.95/x
  3. Step 3: Cross multiply
    594.61x = 946.95 × 946.95
  4. Step 4: Simplify right side
    594.61x = 896,720.22
  5. Step 5: Solve for x
    x = 896,720.22/594.61
  6. Step 6: Final answer
    x = 1,508.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.