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Finding the Third Proportional to 338,579 and 535,673

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Solution

The third proportional to 338,579 and 535,673 is: 847,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,579 : 535,673 = 535,673 : x
  2. Step 2: Convert to fraction form
    338,579/535,673 = 535,673/x
  3. Step 3: Cross multiply
    338,579x = 535,673 × 535,673
  4. Step 4: Simplify right side
    338,579x = 286,945,562,929
  5. Step 5: Solve for x
    x = 286,945,562,929/338,579
  6. Step 6: Final answer
    x = 847,499.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.