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Finding the Third Proportional to 223,692.38 and 473,293.31

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Solution

The third proportional to 223,692.38 and 473,293.31 is: 1,001,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,692.38 : 473,293.31 = 473,293.31 : x
  2. Step 2: Convert to fraction form
    223,692.38/473,293.31 = 473,293.31/x
  3. Step 3: Cross multiply
    223,692.38x = 473,293.31 × 473,293.31
  4. Step 4: Simplify right side
    223,692.38x = 224,006,559,657.22
  5. Step 5: Solve for x
    x = 224,006,559,657.22/223,692.38
  6. Step 6: Final answer
    x = 1,001,404.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.