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Finding the Third Proportional to 225,774 and 493,528

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Solution

The third proportional to 225,774 and 493,528 is: 1,078,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,774 : 493,528 = 493,528 : x
  2. Step 2: Convert to fraction form
    225,774/493,528 = 493,528/x
  3. Step 3: Cross multiply
    225,774x = 493,528 × 493,528
  4. Step 4: Simplify right side
    225,774x = 243,569,886,784
  5. Step 5: Solve for x
    x = 243,569,886,784/225,774
  6. Step 6: Final answer
    x = 1,078,821.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.