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Finding the Third Proportional to 970.13 and 1,464.56

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Solution

The third proportional to 970.13 and 1,464.56 is: 2,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 1,464.56 = 1,464.56 : x
  2. Step 2: Convert to fraction form
    970.13/1,464.56 = 1,464.56/x
  3. Step 3: Cross multiply
    970.13x = 1,464.56 × 1,464.56
  4. Step 4: Simplify right side
    970.13x = 2,144,943.32
  5. Step 5: Solve for x
    x = 2,144,943.32/970.13
  6. Step 6: Final answer
    x = 2,211.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.