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Finding the Third Proportional to 373,045.50 and 578,659.50

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Solution

The third proportional to 373,045.50 and 578,659.50 is: 897,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,045.50 : 578,659.50 = 578,659.50 : x
  2. Step 2: Convert to fraction form
    373,045.50/578,659.50 = 578,659.50/x
  3. Step 3: Cross multiply
    373,045.50x = 578,659.50 × 578,659.50
  4. Step 4: Simplify right side
    373,045.50x = 334,846,816,940.25
  5. Step 5: Solve for x
    x = 334,846,816,940.25/373,045.50
  6. Step 6: Final answer
    x = 897,603.15

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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.