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Finding the Third Proportional to 367,402 and 562,010

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Solution

The third proportional to 367,402 and 562,010 is: 859,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,402 : 562,010 = 562,010 : x
  2. Step 2: Convert to fraction form
    367,402/562,010 = 562,010/x
  3. Step 3: Cross multiply
    367,402x = 562,010 × 562,010
  4. Step 4: Simplify right side
    367,402x = 315,855,240,100
  5. Step 5: Solve for x
    x = 315,855,240,100/367,402
  6. Step 6: Final answer
    x = 859,699.29

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