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Finding the Third Proportional to 362,360 and 598,892

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Solution

The third proportional to 362,360 and 598,892 is: 989,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,360 : 598,892 = 598,892 : x
  2. Step 2: Convert to fraction form
    362,360/598,892 = 598,892/x
  3. Step 3: Cross multiply
    362,360x = 598,892 × 598,892
  4. Step 4: Simplify right side
    362,360x = 358,671,627,664
  5. Step 5: Solve for x
    x = 358,671,627,664/362,360
  6. Step 6: Final answer
    x = 989,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.