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Finding the Third Proportional to 712,813.50 and 1,476,153

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Solution

The third proportional to 712,813.50 and 1,476,153 is: 3,056,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,813.50 : 1,476,153 = 1,476,153 : x
  2. Step 2: Convert to fraction form
    712,813.50/1,476,153 = 1,476,153/x
  3. Step 3: Cross multiply
    712,813.50x = 1,476,153 × 1,476,153
  4. Step 4: Simplify right side
    712,813.50x = 2,179,027,679,409
  5. Step 5: Solve for x
    x = 2,179,027,679,409/712,813.50
  6. Step 6: Final answer
    x = 3,056,939.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.