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Finding the Third Proportional to 407,034 and 598,355

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Solution

The third proportional to 407,034 and 598,355 is: 879,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,034 : 598,355 = 598,355 : x
  2. Step 2: Convert to fraction form
    407,034/598,355 = 598,355/x
  3. Step 3: Cross multiply
    407,034x = 598,355 × 598,355
  4. Step 4: Simplify right side
    407,034x = 358,028,706,025
  5. Step 5: Solve for x
    x = 358,028,706,025/407,034
  6. Step 6: Final answer
    x = 879,603.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.