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Finding the Third Proportional to 364,047.75 and 563,108.63

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Solution

The third proportional to 364,047.75 and 563,108.63 is: 871,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,047.75 : 563,108.63 = 563,108.63 : x
  2. Step 2: Convert to fraction form
    364,047.75/563,108.63 = 563,108.63/x
  3. Step 3: Cross multiply
    364,047.75x = 563,108.63 × 563,108.63
  4. Step 4: Simplify right side
    364,047.75x = 317,091,323,549.39
  5. Step 5: Solve for x
    x = 317,091,323,549.39/364,047.75
  6. Step 6: Final answer
    x = 871,015.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.