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Finding the Third Proportional to 374,685 and 562,038

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Solution

The third proportional to 374,685 and 562,038 is: 843,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,685 : 562,038 = 562,038 : x
  2. Step 2: Convert to fraction form
    374,685/562,038 = 562,038/x
  3. Step 3: Cross multiply
    374,685x = 562,038 × 562,038
  4. Step 4: Simplify right side
    374,685x = 315,886,713,444
  5. Step 5: Solve for x
    x = 315,886,713,444/374,685
  6. Step 6: Final answer
    x = 843,072.75

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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.