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Finding the Third Proportional to 302,899.50 and 468,957

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Solution

The third proportional to 302,899.50 and 468,957 is: 726,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,899.50 : 468,957 = 468,957 : x
  2. Step 2: Convert to fraction form
    302,899.50/468,957 = 468,957/x
  3. Step 3: Cross multiply
    302,899.50x = 468,957 × 468,957
  4. Step 4: Simplify right side
    302,899.50x = 219,920,667,849
  5. Step 5: Solve for x
    x = 219,920,667,849/302,899.50
  6. Step 6: Final answer
    x = 726,051.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.