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Finding the Third Proportional to 970.59 and 1,484.72

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Solution

The third proportional to 970.59 and 1,484.72 is: 2,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.59 : 1,484.72 = 1,484.72 : x
  2. Step 2: Convert to fraction form
    970.59/1,484.72 = 1,484.72/x
  3. Step 3: Cross multiply
    970.59x = 1,484.72 × 1,484.72
  4. Step 4: Simplify right side
    970.59x = 2,204,389.77
  5. Step 5: Solve for x
    x = 2,204,389.77/970.59
  6. Step 6: Final answer
    x = 2,271.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.