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Finding the Third Proportional to 373,564 and 559,024

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Solution

The third proportional to 373,564 and 559,024 is: 836,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,564 : 559,024 = 559,024 : x
  2. Step 2: Convert to fraction form
    373,564/559,024 = 559,024/x
  3. Step 3: Cross multiply
    373,564x = 559,024 × 559,024
  4. Step 4: Simplify right side
    373,564x = 312,507,832,576
  5. Step 5: Solve for x
    x = 312,507,832,576/373,564
  6. Step 6: Final answer
    x = 836,557.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.