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Finding the Third Proportional to 308,391 and 476,593.50

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Solution

The third proportional to 308,391 and 476,593.50 is: 736,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,391 : 476,593.50 = 476,593.50 : x
  2. Step 2: Convert to fraction form
    308,391/476,593.50 = 476,593.50/x
  3. Step 3: Cross multiply
    308,391x = 476,593.50 × 476,593.50
  4. Step 4: Simplify right side
    308,391x = 227,141,364,242.25
  5. Step 5: Solve for x
    x = 227,141,364,242.25/308,391
  6. Step 6: Final answer
    x = 736,536.94

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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.