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Finding the Third Proportional to 230,628 and 506,659

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Solution

The third proportional to 230,628 and 506,659 is: 1,113,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,628 : 506,659 = 506,659 : x
  2. Step 2: Convert to fraction form
    230,628/506,659 = 506,659/x
  3. Step 3: Cross multiply
    230,628x = 506,659 × 506,659
  4. Step 4: Simplify right side
    230,628x = 256,703,342,281
  5. Step 5: Solve for x
    x = 256,703,342,281/230,628
  6. Step 6: Final answer
    x = 1,113,062.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.