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Finding the Third Proportional to 407,004 and 598,728

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Solution

The third proportional to 407,004 and 598,728 is: 880,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,004 : 598,728 = 598,728 : x
  2. Step 2: Convert to fraction form
    407,004/598,728 = 598,728/x
  3. Step 3: Cross multiply
    407,004x = 598,728 × 598,728
  4. Step 4: Simplify right side
    407,004x = 358,475,217,984
  5. Step 5: Solve for x
    x = 358,475,217,984/407,004
  6. Step 6: Final answer
    x = 880,765.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.