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Finding the Third Proportional to 332,370.84 and 709,020.84

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Solution

The third proportional to 332,370.84 and 709,020.84 is: 1,512,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,370.84 : 709,020.84 = 709,020.84 : x
  2. Step 2: Convert to fraction form
    332,370.84/709,020.84 = 709,020.84/x
  3. Step 3: Cross multiply
    332,370.84x = 709,020.84 × 709,020.84
  4. Step 4: Simplify right side
    332,370.84x = 502,710,556,871.96
  5. Step 5: Solve for x
    x = 502,710,556,871.96/332,370.84
  6. Step 6: Final answer
    x = 1,512,498.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.