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Finding the Third Proportional to 451,510.50 and 661,068.75

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Solution

The third proportional to 451,510.50 and 661,068.75 is: 967,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,510.50 : 661,068.75 = 661,068.75 : x
  2. Step 2: Convert to fraction form
    451,510.50/661,068.75 = 661,068.75/x
  3. Step 3: Cross multiply
    451,510.50x = 661,068.75 × 661,068.75
  4. Step 4: Simplify right side
    451,510.50x = 437,011,892,226.56
  5. Step 5: Solve for x
    x = 437,011,892,226.56/451,510.50
  6. Step 6: Final answer
    x = 967,888.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.