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Finding the Third Proportional to 341,498.50 and 749,427.50

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Solution

The third proportional to 341,498.50 and 749,427.50 is: 1,644,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,498.50 : 749,427.50 = 749,427.50 : x
  2. Step 2: Convert to fraction form
    341,498.50/749,427.50 = 749,427.50/x
  3. Step 3: Cross multiply
    341,498.50x = 749,427.50 × 749,427.50
  4. Step 4: Simplify right side
    341,498.50x = 561,641,577,756.25
  5. Step 5: Solve for x
    x = 561,641,577,756.25/341,498.50
  6. Step 6: Final answer
    x = 1,644,638.49

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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.