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Finding the Third Proportional to 398,592 and 586,224

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Solution

The third proportional to 398,592 and 586,224 is: 862,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,592 : 586,224 = 586,224 : x
  2. Step 2: Convert to fraction form
    398,592/586,224 = 586,224/x
  3. Step 3: Cross multiply
    398,592x = 586,224 × 586,224
  4. Step 4: Simplify right side
    398,592x = 343,658,578,176
  5. Step 5: Solve for x
    x = 343,658,578,176/398,592
  6. Step 6: Final answer
    x = 862,181.32

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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.