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Finding the Third Proportional to 362,790 and 572,008

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Solution

The third proportional to 362,790 and 572,008 is: 901,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,790 : 572,008 = 572,008 : x
  2. Step 2: Convert to fraction form
    362,790/572,008 = 572,008/x
  3. Step 3: Cross multiply
    362,790x = 572,008 × 572,008
  4. Step 4: Simplify right side
    362,790x = 327,193,152,064
  5. Step 5: Solve for x
    x = 327,193,152,064/362,790
  6. Step 6: Final answer
    x = 901,880.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.