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Finding the Third Proportional to 510,322.50 and 1,109,313

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Solution

The third proportional to 510,322.50 and 1,109,313 is: 2,411,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,322.50 : 1,109,313 = 1,109,313 : x
  2. Step 2: Convert to fraction form
    510,322.50/1,109,313 = 1,109,313/x
  3. Step 3: Cross multiply
    510,322.50x = 1,109,313 × 1,109,313
  4. Step 4: Simplify right side
    510,322.50x = 1,230,575,331,969
  5. Step 5: Solve for x
    x = 1,230,575,331,969/510,322.50
  6. Step 6: Final answer
    x = 2,411,367.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.