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Finding the Third Proportional to 410,359.50 and 853,328.25

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Solution

The third proportional to 410,359.50 and 853,328.25 is: 1,774,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,359.50 : 853,328.25 = 853,328.25 : x
  2. Step 2: Convert to fraction form
    410,359.50/853,328.25 = 853,328.25/x
  3. Step 3: Cross multiply
    410,359.50x = 853,328.25 × 853,328.25
  4. Step 4: Simplify right side
    410,359.50x = 728,169,102,248.06
  5. Step 5: Solve for x
    x = 728,169,102,248.06/410,359.50
  6. Step 6: Final answer
    x = 1,774,466.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.