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Finding the Third Proportional to 439,353 and 643,477.50

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Solution

The third proportional to 439,353 and 643,477.50 is: 942,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,353 : 643,477.50 = 643,477.50 : x
  2. Step 2: Convert to fraction form
    439,353/643,477.50 = 643,477.50/x
  3. Step 3: Cross multiply
    439,353x = 643,477.50 × 643,477.50
  4. Step 4: Simplify right side
    439,353x = 414,063,293,006.25
  5. Step 5: Solve for x
    x = 414,063,293,006.25/439,353
  6. Step 6: Final answer
    x = 942,438.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.