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Finding the Third Proportional to 341,513.72 and 749,457.56

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Solution

The third proportional to 341,513.72 and 749,457.56 is: 1,644,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,513.72 : 749,457.56 = 749,457.56 : x
  2. Step 2: Convert to fraction form
    341,513.72/749,457.56 = 749,457.56/x
  3. Step 3: Cross multiply
    341,513.72x = 749,457.56 × 749,457.56
  4. Step 4: Simplify right side
    341,513.72x = 561,686,637,988.44
  5. Step 5: Solve for x
    x = 561,686,637,988.44/341,513.72
  6. Step 6: Final answer
    x = 1,644,697.14

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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.