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Finding the Third Proportional to 658,480 and 984,904

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Solution

The third proportional to 658,480 and 984,904 is: 1,473,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,480 : 984,904 = 984,904 : x
  2. Step 2: Convert to fraction form
    658,480/984,904 = 984,904/x
  3. Step 3: Cross multiply
    658,480x = 984,904 × 984,904
  4. Step 4: Simplify right side
    658,480x = 970,035,889,216
  5. Step 5: Solve for x
    x = 970,035,889,216/658,480
  6. Step 6: Final answer
    x = 1,473,144.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.