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Finding the Third Proportional to 209,011.50 and 451,557

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Solution

The third proportional to 209,011.50 and 451,557 is: 975,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,011.50 : 451,557 = 451,557 : x
  2. Step 2: Convert to fraction form
    209,011.50/451,557 = 451,557/x
  3. Step 3: Cross multiply
    209,011.50x = 451,557 × 451,557
  4. Step 4: Simplify right side
    209,011.50x = 203,903,724,249
  5. Step 5: Solve for x
    x = 203,903,724,249/209,011.50
  6. Step 6: Final answer
    x = 975,562.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.