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Finding the Third Proportional to 530,298 and 1,145,313

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Solution

The third proportional to 530,298 and 1,145,313 is: 2,473,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,298 : 1,145,313 = 1,145,313 : x
  2. Step 2: Convert to fraction form
    530,298/1,145,313 = 1,145,313/x
  3. Step 3: Cross multiply
    530,298x = 1,145,313 × 1,145,313
  4. Step 4: Simplify right side
    530,298x = 1,311,741,867,969
  5. Step 5: Solve for x
    x = 1,311,741,867,969/530,298
  6. Step 6: Final answer
    x = 2,473,593.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.