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Finding the Third Proportional to 407,019 and 598,335

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Solution

The third proportional to 407,019 and 598,335 is: 879,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,019 : 598,335 = 598,335 : x
  2. Step 2: Convert to fraction form
    407,019/598,335 = 598,335/x
  3. Step 3: Cross multiply
    407,019x = 598,335 × 598,335
  4. Step 4: Simplify right side
    407,019x = 358,004,772,225
  5. Step 5: Solve for x
    x = 358,004,772,225/407,019
  6. Step 6: Final answer
    x = 879,577.54

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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.