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Finding the Third Proportional to 407,021.63 and 598,336.88

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Solution

The third proportional to 407,021.63 and 598,336.88 is: 879,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,021.63 : 598,336.88 = 598,336.88 : x
  2. Step 2: Convert to fraction form
    407,021.63/598,336.88 = 598,336.88/x
  3. Step 3: Cross multiply
    407,021.63x = 598,336.88 × 598,336.88
  4. Step 4: Simplify right side
    407,021.63x = 358,007,015,984.77
  5. Step 5: Solve for x
    x = 358,007,015,984.77/407,021.63
  6. Step 6: Final answer
    x = 879,577.38

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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.