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Finding the Third Proportional to 407,384.25 and 598,590.38

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Solution

The third proportional to 407,384.25 and 598,590.38 is: 879,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,384.25 : 598,590.38 = 598,590.38 : x
  2. Step 2: Convert to fraction form
    407,384.25/598,590.38 = 598,590.38/x
  3. Step 3: Cross multiply
    407,384.25x = 598,590.38 × 598,590.38
  4. Step 4: Simplify right side
    407,384.25x = 358,310,437,042.64
  5. Step 5: Solve for x
    x = 358,310,437,042.64/407,384.25
  6. Step 6: Final answer
    x = 879,539.25

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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.