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Finding the Third Proportional to 374,908.50 and 534,316.50

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Solution

The third proportional to 374,908.50 and 534,316.50 is: 761,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,908.50 : 534,316.50 = 534,316.50 : x
  2. Step 2: Convert to fraction form
    374,908.50/534,316.50 = 534,316.50/x
  3. Step 3: Cross multiply
    374,908.50x = 534,316.50 × 534,316.50
  4. Step 4: Simplify right side
    374,908.50x = 285,494,122,172.25
  5. Step 5: Solve for x
    x = 285,494,122,172.25/374,908.50
  6. Step 6: Final answer
    x = 761,503.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.