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Finding the Third Proportional to 348,735 and 739,319

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Solution

The third proportional to 348,735 and 739,319 is: 1,567,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,735 : 739,319 = 739,319 : x
  2. Step 2: Convert to fraction form
    348,735/739,319 = 739,319/x
  3. Step 3: Cross multiply
    348,735x = 739,319 × 739,319
  4. Step 4: Simplify right side
    348,735x = 546,592,583,761
  5. Step 5: Solve for x
    x = 546,592,583,761/348,735
  6. Step 6: Final answer
    x = 1,567,357.98

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Why These Related Problems?

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