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Finding the Third Proportional to 284,259 and 598,002

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Solution

The third proportional to 284,259 and 598,002 is: 1,258,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259 : 598,002 = 598,002 : x
  2. Step 2: Convert to fraction form
    284,259/598,002 = 598,002/x
  3. Step 3: Cross multiply
    284,259x = 598,002 × 598,002
  4. Step 4: Simplify right side
    284,259x = 357,606,392,004
  5. Step 5: Solve for x
    x = 357,606,392,004/284,259
  6. Step 6: Final answer
    x = 1,258,030.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.