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Finding the Third Proportional to 362,352 and 598,878

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Solution

The third proportional to 362,352 and 598,878 is: 989,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,352 : 598,878 = 598,878 : x
  2. Step 2: Convert to fraction form
    362,352/598,878 = 598,878/x
  3. Step 3: Cross multiply
    362,352x = 598,878 × 598,878
  4. Step 4: Simplify right side
    362,352x = 358,654,858,884
  5. Step 5: Solve for x
    x = 358,654,858,884/362,352
  6. Step 6: Final answer
    x = 989,796.82

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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.