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Finding the Third Proportional to 362,856 and 572,112

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Solution

The third proportional to 362,856 and 572,112 is: 902,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,856 : 572,112 = 572,112 : x
  2. Step 2: Convert to fraction form
    362,856/572,112 = 572,112/x
  3. Step 3: Cross multiply
    362,856x = 572,112 × 572,112
  4. Step 4: Simplify right side
    362,856x = 327,312,140,544
  5. Step 5: Solve for x
    x = 327,312,140,544/362,856
  6. Step 6: Final answer
    x = 902,044.17

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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.