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Finding the Third Proportional to 365,688 and 799,728

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Solution

The third proportional to 365,688 and 799,728 is: 1,748,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,688 : 799,728 = 799,728 : x
  2. Step 2: Convert to fraction form
    365,688/799,728 = 799,728/x
  3. Step 3: Cross multiply
    365,688x = 799,728 × 799,728
  4. Step 4: Simplify right side
    365,688x = 639,564,873,984
  5. Step 5: Solve for x
    x = 639,564,873,984/365,688
  6. Step 6: Final answer
    x = 1,748,935.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.