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Finding the Third Proportional to 420,420 and 642,982.50

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Solution

The third proportional to 420,420 and 642,982.50 is: 983,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,420 : 642,982.50 = 642,982.50 : x
  2. Step 2: Convert to fraction form
    420,420/642,982.50 = 642,982.50/x
  3. Step 3: Cross multiply
    420,420x = 642,982.50 × 642,982.50
  4. Step 4: Simplify right side
    420,420x = 413,426,495,306.25
  5. Step 5: Solve for x
    x = 413,426,495,306.25/420,420
  6. Step 6: Final answer
    x = 983,365.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.