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Finding the Third Proportional to 281,667.38 and 626,302.13

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Solution

The third proportional to 281,667.38 and 626,302.13 is: 1,392,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,667.38 : 626,302.13 = 626,302.13 : x
  2. Step 2: Convert to fraction form
    281,667.38/626,302.13 = 626,302.13/x
  3. Step 3: Cross multiply
    281,667.38x = 626,302.13 × 626,302.13
  4. Step 4: Simplify right side
    281,667.38x = 392,254,351,779.52
  5. Step 5: Solve for x
    x = 392,254,351,779.52/281,667.38
  6. Step 6: Final answer
    x = 1,392,615.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.