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Finding the Third Proportional to 473.91 and 707.20

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Solution

The third proportional to 473.91 and 707.20 is: 1,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 707.20 = 707.20 : x
  2. Step 2: Convert to fraction form
    473.91/707.20 = 707.20/x
  3. Step 3: Cross multiply
    473.91x = 707.20 × 707.20
  4. Step 4: Simplify right side
    473.91x = 500,136.26
  5. Step 5: Solve for x
    x = 500,136.26/473.91
  6. Step 6: Final answer
    x = 1,055.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.