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Finding the Third Proportional to 297,559 and 446,988

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Solution

The third proportional to 297,559 and 446,988 is: 671,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,559 : 446,988 = 446,988 : x
  2. Step 2: Convert to fraction form
    297,559/446,988 = 446,988/x
  3. Step 3: Cross multiply
    297,559x = 446,988 × 446,988
  4. Step 4: Simplify right side
    297,559x = 199,798,272,144
  5. Step 5: Solve for x
    x = 199,798,272,144/297,559
  6. Step 6: Final answer
    x = 671,457.67

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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.