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Finding the Third Proportional to 660,233 and 971,578

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Solution

The third proportional to 660,233 and 971,578 is: 1,429,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,233 : 971,578 = 971,578 : x
  2. Step 2: Convert to fraction form
    660,233/971,578 = 971,578/x
  3. Step 3: Cross multiply
    660,233x = 971,578 × 971,578
  4. Step 4: Simplify right side
    660,233x = 943,963,810,084
  5. Step 5: Solve for x
    x = 943,963,810,084/660,233
  6. Step 6: Final answer
    x = 1,429,743.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.