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Finding the Third Proportional to 714.94 and 1,457.72

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Solution

The third proportional to 714.94 and 1,457.72 is: 2,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.94 : 1,457.72 = 1,457.72 : x
  2. Step 2: Convert to fraction form
    714.94/1,457.72 = 1,457.72/x
  3. Step 3: Cross multiply
    714.94x = 1,457.72 × 1,457.72
  4. Step 4: Simplify right side
    714.94x = 2,124,943.95
  5. Step 5: Solve for x
    x = 2,124,943.95/714.94
  6. Step 6: Final answer
    x = 2,972.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.