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Finding the Third Proportional to 407,384 and 598,590

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Solution

The third proportional to 407,384 and 598,590 is: 879,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,384 : 598,590 = 598,590 : x
  2. Step 2: Convert to fraction form
    407,384/598,590 = 598,590/x
  3. Step 3: Cross multiply
    407,384x = 598,590 × 598,590
  4. Step 4: Simplify right side
    407,384x = 358,309,988,100
  5. Step 5: Solve for x
    x = 358,309,988,100/407,384
  6. Step 6: Final answer
    x = 879,538.69

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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.