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Finding the Third Proportional to 448,962.75 and 660,313.69

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Solution

The third proportional to 448,962.75 and 660,313.69 is: 971,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,962.75 : 660,313.69 = 660,313.69 : x
  2. Step 2: Convert to fraction form
    448,962.75/660,313.69 = 660,313.69/x
  3. Step 3: Cross multiply
    448,962.75x = 660,313.69 × 660,313.69
  4. Step 4: Simplify right side
    448,962.75x = 436,014,165,899.85
  5. Step 5: Solve for x
    x = 436,014,165,899.85/448,962.75
  6. Step 6: Final answer
    x = 971,158.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.