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Finding the Third Proportional to 563,225.50 and 871,575

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Solution

The third proportional to 563,225.50 and 871,575 is: 1,348,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,225.50 : 871,575 = 871,575 : x
  2. Step 2: Convert to fraction form
    563,225.50/871,575 = 871,575/x
  3. Step 3: Cross multiply
    563,225.50x = 871,575 × 871,575
  4. Step 4: Simplify right side
    563,225.50x = 759,642,980,625
  5. Step 5: Solve for x
    x = 759,642,980,625/563,225.50
  6. Step 6: Final answer
    x = 1,348,736.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.