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Finding the Third Proportional to 407,116.13 and 598,509

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Solution

The third proportional to 407,116.13 and 598,509 is: 879,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,116.13 : 598,509 = 598,509 : x
  2. Step 2: Convert to fraction form
    407,116.13/598,509 = 598,509/x
  3. Step 3: Cross multiply
    407,116.13x = 598,509 × 598,509
  4. Step 4: Simplify right side
    407,116.13x = 358,213,023,081
  5. Step 5: Solve for x
    x = 358,213,023,081/407,116.13
  6. Step 6: Final answer
    x = 879,879.23

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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.