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Finding the Third Proportional to 399,278.50 and 598,303

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Solution

The third proportional to 399,278.50 and 598,303 is: 896,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,278.50 : 598,303 = 598,303 : x
  2. Step 2: Convert to fraction form
    399,278.50/598,303 = 598,303/x
  3. Step 3: Cross multiply
    399,278.50x = 598,303 × 598,303
  4. Step 4: Simplify right side
    399,278.50x = 357,966,479,809
  5. Step 5: Solve for x
    x = 357,966,479,809/399,278.50
  6. Step 6: Final answer
    x = 896,533.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.