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Finding the Third Proportional to 338,574 and 535,665

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Solution

The third proportional to 338,574 and 535,665 is: 847,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,574 : 535,665 = 535,665 : x
  2. Step 2: Convert to fraction form
    338,574/535,665 = 535,665/x
  3. Step 3: Cross multiply
    338,574x = 535,665 × 535,665
  4. Step 4: Simplify right side
    338,574x = 286,936,992,225
  5. Step 5: Solve for x
    x = 286,936,992,225/338,574
  6. Step 6: Final answer
    x = 847,486.79

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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.