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Finding the Third Proportional to 654,372 and 977,649

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Solution

The third proportional to 654,372 and 977,649 is: 1,460,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,372 : 977,649 = 977,649 : x
  2. Step 2: Convert to fraction form
    654,372/977,649 = 977,649/x
  3. Step 3: Cross multiply
    654,372x = 977,649 × 977,649
  4. Step 4: Simplify right side
    654,372x = 955,797,567,201
  5. Step 5: Solve for x
    x = 955,797,567,201/654,372
  6. Step 6: Final answer
    x = 1,460,633.35

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Why These Related Problems?

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