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Finding the Third Proportional to 653,058 and 940,632

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Solution

The third proportional to 653,058 and 940,632 is: 1,354,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,058 : 940,632 = 940,632 : x
  2. Step 2: Convert to fraction form
    653,058/940,632 = 940,632/x
  3. Step 3: Cross multiply
    653,058x = 940,632 × 940,632
  4. Step 4: Simplify right side
    653,058x = 884,788,559,424
  5. Step 5: Solve for x
    x = 884,788,559,424/653,058
  6. Step 6: Final answer
    x = 1,354,839.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.