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Finding the Third Proportional to 407,566.13 and 598,879.13

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Solution

The third proportional to 407,566.13 and 598,879.13 is: 879,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,566.13 : 598,879.13 = 598,879.13 : x
  2. Step 2: Convert to fraction form
    407,566.13/598,879.13 = 598,879.13/x
  3. Step 3: Cross multiply
    407,566.13x = 598,879.13 × 598,879.13
  4. Step 4: Simplify right side
    407,566.13x = 358,656,206,360.77
  5. Step 5: Solve for x
    x = 358,656,206,360.77/407,566.13
  6. Step 6: Final answer
    x = 879,995.13

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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.