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Finding the Third Proportional to 374,826 and 599,502

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Solution

The third proportional to 374,826 and 599,502 is: 958,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,826 : 599,502 = 599,502 : x
  2. Step 2: Convert to fraction form
    374,826/599,502 = 599,502/x
  3. Step 3: Cross multiply
    374,826x = 599,502 × 599,502
  4. Step 4: Simplify right side
    374,826x = 359,402,648,004
  5. Step 5: Solve for x
    x = 359,402,648,004/374,826
  6. Step 6: Final answer
    x = 958,851.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.