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Finding the Third Proportional to 486.84 and 714.23

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Solution

The third proportional to 486.84 and 714.23 is: 1,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 714.23 = 714.23 : x
  2. Step 2: Convert to fraction form
    486.84/714.23 = 714.23/x
  3. Step 3: Cross multiply
    486.84x = 714.23 × 714.23
  4. Step 4: Simplify right side
    486.84x = 510,130.74
  5. Step 5: Solve for x
    x = 510,130.74/486.84
  6. Step 6: Final answer
    x = 1,047.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.