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Finding the Third Proportional to 439,352 and 643,476

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Solution

The third proportional to 439,352 and 643,476 is: 942,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,352 : 643,476 = 643,476 : x
  2. Step 2: Convert to fraction form
    439,352/643,476 = 643,476/x
  3. Step 3: Cross multiply
    439,352x = 643,476 × 643,476
  4. Step 4: Simplify right side
    439,352x = 414,061,362,576
  5. Step 5: Solve for x
    x = 414,061,362,576/439,352
  6. Step 6: Final answer
    x = 942,436.50

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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.