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Finding the Third Proportional to 338,635.69 and 524,907.84

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Solution

The third proportional to 338,635.69 and 524,907.84 is: 813,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,635.69 : 524,907.84 = 524,907.84 : x
  2. Step 2: Convert to fraction form
    338,635.69/524,907.84 = 524,907.84/x
  3. Step 3: Cross multiply
    338,635.69x = 524,907.84 × 524,907.84
  4. Step 4: Simplify right side
    338,635.69x = 275,528,244,430.27
  5. Step 5: Solve for x
    x = 275,528,244,430.27/338,635.69
  6. Step 6: Final answer
    x = 813,642.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.