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Finding the Third Proportional to 710.65 and 1,502.93

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Solution

The third proportional to 710.65 and 1,502.93 is: 3,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.65 : 1,502.93 = 1,502.93 : x
  2. Step 2: Convert to fraction form
    710.65/1,502.93 = 1,502.93/x
  3. Step 3: Cross multiply
    710.65x = 1,502.93 × 1,502.93
  4. Step 4: Simplify right side
    710.65x = 2,258,797.65
  5. Step 5: Solve for x
    x = 2,258,797.65/710.65
  6. Step 6: Final answer
    x = 3,178.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.