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Finding the Third Proportional to 367,051 and 483,724

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Solution

The third proportional to 367,051 and 483,724 is: 637,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,051 : 483,724 = 483,724 : x
  2. Step 2: Convert to fraction form
    367,051/483,724 = 483,724/x
  3. Step 3: Cross multiply
    367,051x = 483,724 × 483,724
  4. Step 4: Simplify right side
    367,051x = 233,988,908,176
  5. Step 5: Solve for x
    x = 233,988,908,176/367,051
  6. Step 6: Final answer
    x = 637,483.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.