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Finding the Third Proportional to 588,656 and 911,280

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Solution

The third proportional to 588,656 and 911,280 is: 1,410,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,656 : 911,280 = 911,280 : x
  2. Step 2: Convert to fraction form
    588,656/911,280 = 911,280/x
  3. Step 3: Cross multiply
    588,656x = 911,280 × 911,280
  4. Step 4: Simplify right side
    588,656x = 830,431,238,400
  5. Step 5: Solve for x
    x = 830,431,238,400/588,656
  6. Step 6: Final answer
    x = 1,410,724.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.