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Finding the Third Proportional to 297,557 and 446,985

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Solution

The third proportional to 297,557 and 446,985 is: 671,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,557 : 446,985 = 446,985 : x
  2. Step 2: Convert to fraction form
    297,557/446,985 = 446,985/x
  3. Step 3: Cross multiply
    297,557x = 446,985 × 446,985
  4. Step 4: Simplify right side
    297,557x = 199,795,590,225
  5. Step 5: Solve for x
    x = 199,795,590,225/297,557
  6. Step 6: Final answer
    x = 671,453.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.