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Finding the Third Proportional to 347,302.69 and 761,010.19

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Solution

The third proportional to 347,302.69 and 761,010.19 is: 1,667,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,302.69 : 761,010.19 = 761,010.19 : x
  2. Step 2: Convert to fraction form
    347,302.69/761,010.19 = 761,010.19/x
  3. Step 3: Cross multiply
    347,302.69x = 761,010.19 × 761,010.19
  4. Step 4: Simplify right side
    347,302.69x = 579,136,505,478.79
  5. Step 5: Solve for x
    x = 579,136,505,478.79/347,302.69
  6. Step 6: Final answer
    x = 1,667,526.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.