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Finding the Third Proportional to 374,875 and 599,567

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Solution

The third proportional to 374,875 and 599,567 is: 958,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,875 : 599,567 = 599,567 : x
  2. Step 2: Convert to fraction form
    374,875/599,567 = 599,567/x
  3. Step 3: Cross multiply
    374,875x = 599,567 × 599,567
  4. Step 4: Simplify right side
    374,875x = 359,480,587,489
  5. Step 5: Solve for x
    x = 359,480,587,489/374,875
  6. Step 6: Final answer
    x = 958,934.54

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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.