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Finding the Third Proportional to 374,673 and 562,020

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Solution

The third proportional to 374,673 and 562,020 is: 843,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,673 : 562,020 = 562,020 : x
  2. Step 2: Convert to fraction form
    374,673/562,020 = 562,020/x
  3. Step 3: Cross multiply
    374,673x = 562,020 × 562,020
  4. Step 4: Simplify right side
    374,673x = 315,866,480,400
  5. Step 5: Solve for x
    x = 315,866,480,400/374,673
  6. Step 6: Final answer
    x = 843,045.75

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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.