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Finding the Third Proportional to 406,541.50 and 595,232

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Solution

The third proportional to 406,541.50 and 595,232 is: 871,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,541.50 : 595,232 = 595,232 : x
  2. Step 2: Convert to fraction form
    406,541.50/595,232 = 595,232/x
  3. Step 3: Cross multiply
    406,541.50x = 595,232 × 595,232
  4. Step 4: Simplify right side
    406,541.50x = 354,301,133,824
  5. Step 5: Solve for x
    x = 354,301,133,824/406,541.50
  6. Step 6: Final answer
    x = 871,500.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.