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Finding the Third Proportional to 407,015.75 and 598,328.50

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Solution

The third proportional to 407,015.75 and 598,328.50 is: 879,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,015.75 : 598,328.50 = 598,328.50 : x
  2. Step 2: Convert to fraction form
    407,015.75/598,328.50 = 598,328.50/x
  3. Step 3: Cross multiply
    407,015.75x = 598,328.50 × 598,328.50
  4. Step 4: Simplify right side
    407,015.75x = 357,996,993,912.25
  5. Step 5: Solve for x
    x = 357,996,993,912.25/407,015.75
  6. Step 6: Final answer
    x = 879,565.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.