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Finding the Third Proportional to 313,374 and 470,754

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Solution

The third proportional to 313,374 and 470,754 is: 707,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,374 : 470,754 = 470,754 : x
  2. Step 2: Convert to fraction form
    313,374/470,754 = 470,754/x
  3. Step 3: Cross multiply
    313,374x = 470,754 × 470,754
  4. Step 4: Simplify right side
    313,374x = 221,609,328,516
  5. Step 5: Solve for x
    x = 221,609,328,516/313,374
  6. Step 6: Final answer
    x = 707,172.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.