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Finding the Third Proportional to 446.50 and 710.50

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Solution

The third proportional to 446.50 and 710.50 is: 1,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 710.50 = 710.50 : x
  2. Step 2: Convert to fraction form
    446.50/710.50 = 710.50/x
  3. Step 3: Cross multiply
    446.50x = 710.50 × 710.50
  4. Step 4: Simplify right side
    446.50x = 504,810.25
  5. Step 5: Solve for x
    x = 504,810.25/446.50
  6. Step 6: Final answer
    x = 1,130.59

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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.