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Finding the Third Proportional to 350,497.13 and 762,503.63

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Solution

The third proportional to 350,497.13 and 762,503.63 is: 1,658,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,497.13 : 762,503.63 = 762,503.63 : x
  2. Step 2: Convert to fraction form
    350,497.13/762,503.63 = 762,503.63/x
  3. Step 3: Cross multiply
    350,497.13x = 762,503.63 × 762,503.63
  4. Step 4: Simplify right side
    350,497.13x = 581,411,778,138.14
  5. Step 5: Solve for x
    x = 581,411,778,138.14/350,497.13
  6. Step 6: Final answer
    x = 1,658,820.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.