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Finding the Third Proportional to 407,130 and 598,530

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Solution

The third proportional to 407,130 and 598,530 is: 879,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,130 : 598,530 = 598,530 : x
  2. Step 2: Convert to fraction form
    407,130/598,530 = 598,530/x
  3. Step 3: Cross multiply
    407,130x = 598,530 × 598,530
  4. Step 4: Simplify right side
    407,130x = 358,238,160,900
  5. Step 5: Solve for x
    x = 358,238,160,900/407,130
  6. Step 6: Final answer
    x = 879,910.99

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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.