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Finding the Third Proportional to 341,402.63 and 738,163.13

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Solution

The third proportional to 341,402.63 and 738,163.13 is: 1,596,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,402.63 : 738,163.13 = 738,163.13 : x
  2. Step 2: Convert to fraction form
    341,402.63/738,163.13 = 738,163.13/x
  3. Step 3: Cross multiply
    341,402.63x = 738,163.13 × 738,163.13
  4. Step 4: Simplify right side
    341,402.63x = 544,884,799,109.77
  5. Step 5: Solve for x
    x = 544,884,799,109.77/341,402.63
  6. Step 6: Final answer
    x = 1,596,018.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.