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Finding the Third Proportional to 529,840.50 and 1,158,033

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Solution

The third proportional to 529,840.50 and 1,158,033 is: 2,531,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,840.50 : 1,158,033 = 1,158,033 : x
  2. Step 2: Convert to fraction form
    529,840.50/1,158,033 = 1,158,033/x
  3. Step 3: Cross multiply
    529,840.50x = 1,158,033 × 1,158,033
  4. Step 4: Simplify right side
    529,840.50x = 1,341,040,429,089
  5. Step 5: Solve for x
    x = 1,341,040,429,089/529,840.50
  6. Step 6: Final answer
    x = 2,531,026.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.