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Finding the Third Proportional to 403,728 and 586,798

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Solution

The third proportional to 403,728 and 586,798 is: 852,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,728 : 586,798 = 586,798 : x
  2. Step 2: Convert to fraction form
    403,728/586,798 = 586,798/x
  3. Step 3: Cross multiply
    403,728x = 586,798 × 586,798
  4. Step 4: Simplify right side
    403,728x = 344,331,892,804
  5. Step 5: Solve for x
    x = 344,331,892,804/403,728
  6. Step 6: Final answer
    x = 852,880.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.