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Finding the Third Proportional to 597.50 and 653.75

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Solution

The third proportional to 597.50 and 653.75 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 653.75 = 653.75 : x
  2. Step 2: Convert to fraction form
    597.50/653.75 = 653.75/x
  3. Step 3: Cross multiply
    597.50x = 653.75 × 653.75
  4. Step 4: Simplify right side
    597.50x = 427,389.06
  5. Step 5: Solve for x
    x = 427,389.06/597.50
  6. Step 6: Final answer
    x = 715.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.