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Finding the Third Proportional to 381,639 and 561,316.50

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Solution

The third proportional to 381,639 and 561,316.50 is: 825,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,639 : 561,316.50 = 561,316.50 : x
  2. Step 2: Convert to fraction form
    381,639/561,316.50 = 561,316.50/x
  3. Step 3: Cross multiply
    381,639x = 561,316.50 × 561,316.50
  4. Step 4: Simplify right side
    381,639x = 315,076,213,172.25
  5. Step 5: Solve for x
    x = 315,076,213,172.25/381,639
  6. Step 6: Final answer
    x = 825,587.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.