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Finding the Third Proportional to 341,627.63 and 749,685.38

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Solution

The third proportional to 341,627.63 and 749,685.38 is: 1,645,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,627.63 : 749,685.38 = 749,685.38 : x
  2. Step 2: Convert to fraction form
    341,627.63/749,685.38 = 749,685.38/x
  3. Step 3: Cross multiply
    341,627.63x = 749,685.38 × 749,685.38
  4. Step 4: Simplify right side
    341,627.63x = 562,028,161,488.89
  5. Step 5: Solve for x
    x = 562,028,161,488.89/341,627.63
  6. Step 6: Final answer
    x = 1,645,148.46

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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.