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Finding the Third Proportional to 449,282 and 977,296

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Solution

The third proportional to 449,282 and 977,296 is: 2,125,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,282 : 977,296 = 977,296 : x
  2. Step 2: Convert to fraction form
    449,282/977,296 = 977,296/x
  3. Step 3: Cross multiply
    449,282x = 977,296 × 977,296
  4. Step 4: Simplify right side
    449,282x = 955,107,471,616
  5. Step 5: Solve for x
    x = 955,107,471,616/449,282
  6. Step 6: Final answer
    x = 2,125,852.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.