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Finding the Third Proportional to 302,457 and 446,788.50

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Solution

The third proportional to 302,457 and 446,788.50 is: 659,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,457 : 446,788.50 = 446,788.50 : x
  2. Step 2: Convert to fraction form
    302,457/446,788.50 = 446,788.50/x
  3. Step 3: Cross multiply
    302,457x = 446,788.50 × 446,788.50
  4. Step 4: Simplify right side
    302,457x = 199,619,963,732.25
  5. Step 5: Solve for x
    x = 199,619,963,732.25/302,457
  6. Step 6: Final answer
    x = 659,994.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.