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Finding the Third Proportional to 174,854 and 410,567

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Solution

The third proportional to 174,854 and 410,567 is: 964,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,854 : 410,567 = 410,567 : x
  2. Step 2: Convert to fraction form
    174,854/410,567 = 410,567/x
  3. Step 3: Cross multiply
    174,854x = 410,567 × 410,567
  4. Step 4: Simplify right side
    174,854x = 168,565,261,489
  5. Step 5: Solve for x
    x = 168,565,261,489/174,854
  6. Step 6: Final answer
    x = 964,034.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.