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Finding the Third Proportional to 230,768 and 497,248

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Solution

The third proportional to 230,768 and 497,248 is: 1,071,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,768 : 497,248 = 497,248 : x
  2. Step 2: Convert to fraction form
    230,768/497,248 = 497,248/x
  3. Step 3: Cross multiply
    230,768x = 497,248 × 497,248
  4. Step 4: Simplify right side
    230,768x = 247,255,573,504
  5. Step 5: Solve for x
    x = 247,255,573,504/230,768
  6. Step 6: Final answer
    x = 1,071,446.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.