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Finding the Third Proportional to 407,052 and 595,998

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Solution

The third proportional to 407,052 and 595,998 is: 872,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,052 : 595,998 = 595,998 : x
  2. Step 2: Convert to fraction form
    407,052/595,998 = 595,998/x
  3. Step 3: Cross multiply
    407,052x = 595,998 × 595,998
  4. Step 4: Simplify right side
    407,052x = 355,213,616,004
  5. Step 5: Solve for x
    x = 355,213,616,004/407,052
  6. Step 6: Final answer
    x = 872,649.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.