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Finding the Third Proportional to 210,005 and 493,640.50

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Solution

The third proportional to 210,005 and 493,640.50 is: 1,160,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005 : 493,640.50 = 493,640.50 : x
  2. Step 2: Convert to fraction form
    210,005/493,640.50 = 493,640.50/x
  3. Step 3: Cross multiply
    210,005x = 493,640.50 × 493,640.50
  4. Step 4: Simplify right side
    210,005x = 243,680,943,240.25
  5. Step 5: Solve for x
    x = 243,680,943,240.25/210,005
  6. Step 6: Final answer
    x = 1,160,357.82

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.