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Finding the Third Proportional to 348,810 and 739,126.50

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Solution

The third proportional to 348,810 and 739,126.50 is: 1,566,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,810 : 739,126.50 = 739,126.50 : x
  2. Step 2: Convert to fraction form
    348,810/739,126.50 = 739,126.50/x
  3. Step 3: Cross multiply
    348,810x = 739,126.50 × 739,126.50
  4. Step 4: Simplify right side
    348,810x = 546,307,983,002.25
  5. Step 5: Solve for x
    x = 546,307,983,002.25/348,810
  6. Step 6: Final answer
    x = 1,566,205.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.