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Finding the Third Proportional to 653.63 and 1,430.44

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Solution

The third proportional to 653.63 and 1,430.44 is: 3,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 1,430.44 = 1,430.44 : x
  2. Step 2: Convert to fraction form
    653.63/1,430.44 = 1,430.44/x
  3. Step 3: Cross multiply
    653.63x = 1,430.44 × 1,430.44
  4. Step 4: Simplify right side
    653.63x = 2,046,151.44
  5. Step 5: Solve for x
    x = 2,046,151.44/653.63
  6. Step 6: Final answer
    x = 3,130.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.