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Finding the Third Proportional to 407,025 and 598,341.94

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Solution

The third proportional to 407,025 and 598,341.94 is: 879,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,025 : 598,341.94 = 598,341.94 : x
  2. Step 2: Convert to fraction form
    407,025/598,341.94 = 598,341.94/x
  3. Step 3: Cross multiply
    407,025x = 598,341.94 × 598,341.94
  4. Step 4: Simplify right side
    407,025x = 358,013,074,171.25
  5. Step 5: Solve for x
    x = 358,013,074,171.25/407,025
  6. Step 6: Final answer
    x = 879,584.97

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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.