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Finding the Third Proportional to 406,479.38 and 603,823.50

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Solution

The third proportional to 406,479.38 and 603,823.50 is: 896,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,479.38 : 603,823.50 = 603,823.50 : x
  2. Step 2: Convert to fraction form
    406,479.38/603,823.50 = 603,823.50/x
  3. Step 3: Cross multiply
    406,479.38x = 603,823.50 × 603,823.50
  4. Step 4: Simplify right side
    406,479.38x = 364,602,819,152.25
  5. Step 5: Solve for x
    x = 364,602,819,152.25/406,479.38
  6. Step 6: Final answer
    x = 896,977.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.