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Finding the Third Proportional to 340,315 and 740,637

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Solution

The third proportional to 340,315 and 740,637 is: 1,611,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,315 : 740,637 = 740,637 : x
  2. Step 2: Convert to fraction form
    340,315/740,637 = 740,637/x
  3. Step 3: Cross multiply
    340,315x = 740,637 × 740,637
  4. Step 4: Simplify right side
    340,315x = 548,543,165,769
  5. Step 5: Solve for x
    x = 548,543,165,769/340,315
  6. Step 6: Final answer
    x = 1,611,868.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.