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Finding the Third Proportional to 310,064 and 474,032

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Solution

The third proportional to 310,064 and 474,032 is: 724,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,064 : 474,032 = 474,032 : x
  2. Step 2: Convert to fraction form
    310,064/474,032 = 474,032/x
  3. Step 3: Cross multiply
    310,064x = 474,032 × 474,032
  4. Step 4: Simplify right side
    310,064x = 224,706,337,024
  5. Step 5: Solve for x
    x = 224,706,337,024/310,064
  6. Step 6: Final answer
    x = 724,709.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.