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Finding the Third Proportional to 407,416.50 and 598,644

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Solution

The third proportional to 407,416.50 and 598,644 is: 879,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,416.50 : 598,644 = 598,644 : x
  2. Step 2: Convert to fraction form
    407,416.50/598,644 = 598,644/x
  3. Step 3: Cross multiply
    407,416.50x = 598,644 × 598,644
  4. Step 4: Simplify right side
    407,416.50x = 358,374,638,736
  5. Step 5: Solve for x
    x = 358,374,638,736/407,416.50
  6. Step 6: Final answer
    x = 879,627.21

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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.