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Finding the Third Proportional to 453,033 and 633,706.50

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Solution

The third proportional to 453,033 and 633,706.50 is: 886,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,033 : 633,706.50 = 633,706.50 : x
  2. Step 2: Convert to fraction form
    453,033/633,706.50 = 633,706.50/x
  3. Step 3: Cross multiply
    453,033x = 633,706.50 × 633,706.50
  4. Step 4: Simplify right side
    453,033x = 401,583,928,142.25
  5. Step 5: Solve for x
    x = 401,583,928,142.25/453,033
  6. Step 6: Final answer
    x = 886,434.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.