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Finding the Third Proportional to 453,037 and 633,712

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Solution

The third proportional to 453,037 and 633,712 is: 886,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,037 : 633,712 = 633,712 : x
  2. Step 2: Convert to fraction form
    453,037/633,712 = 633,712/x
  3. Step 3: Cross multiply
    453,037x = 633,712 × 633,712
  4. Step 4: Simplify right side
    453,037x = 401,590,898,944
  5. Step 5: Solve for x
    x = 401,590,898,944/453,037
  6. Step 6: Final answer
    x = 886,441.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.