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Finding the Third Proportional to 476,190 and 646,717.50

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Solution

The third proportional to 476,190 and 646,717.50 is: 878,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,190 : 646,717.50 = 646,717.50 : x
  2. Step 2: Convert to fraction form
    476,190/646,717.50 = 646,717.50/x
  3. Step 3: Cross multiply
    476,190x = 646,717.50 × 646,717.50
  4. Step 4: Simplify right side
    476,190x = 418,243,524,806.25
  5. Step 5: Solve for x
    x = 418,243,524,806.25/476,190
  6. Step 6: Final answer
    x = 878,312.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.