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Finding the Third Proportional to 362,146.50 and 573,314.63

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Solution

The third proportional to 362,146.50 and 573,314.63 is: 907,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,146.50 : 573,314.63 = 573,314.63 : x
  2. Step 2: Convert to fraction form
    362,146.50/573,314.63 = 573,314.63/x
  3. Step 3: Cross multiply
    362,146.50x = 573,314.63 × 573,314.63
  4. Step 4: Simplify right side
    362,146.50x = 328,689,659,238.89
  5. Step 5: Solve for x
    x = 328,689,659,238.89/362,146.50
  6. Step 6: Final answer
    x = 907,615.18

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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.