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Finding the Third Proportional to 407,072 and 596,024

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Solution

The third proportional to 407,072 and 596,024 is: 872,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,072 : 596,024 = 596,024 : x
  2. Step 2: Convert to fraction form
    407,072/596,024 = 596,024/x
  3. Step 3: Cross multiply
    407,072x = 596,024 × 596,024
  4. Step 4: Simplify right side
    407,072x = 355,244,608,576
  5. Step 5: Solve for x
    x = 355,244,608,576/407,072
  6. Step 6: Final answer
    x = 872,682.49

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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.