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Finding the Third Proportional to 586,728 and 885,708

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Solution

The third proportional to 586,728 and 885,708 is: 1,337,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,728 : 885,708 = 885,708 : x
  2. Step 2: Convert to fraction form
    586,728/885,708 = 885,708/x
  3. Step 3: Cross multiply
    586,728x = 885,708 × 885,708
  4. Step 4: Simplify right side
    586,728x = 784,478,661,264
  5. Step 5: Solve for x
    x = 784,478,661,264/586,728
  6. Step 6: Final answer
    x = 1,337,039.75

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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.