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Finding the Third Proportional to 263,307 and 576,618

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Solution

The third proportional to 263,307 and 576,618 is: 1,262,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,307 : 576,618 = 576,618 : x
  2. Step 2: Convert to fraction form
    263,307/576,618 = 576,618/x
  3. Step 3: Cross multiply
    263,307x = 576,618 × 576,618
  4. Step 4: Simplify right side
    263,307x = 332,488,317,924
  5. Step 5: Solve for x
    x = 332,488,317,924/263,307
  6. Step 6: Final answer
    x = 1,262,740.14

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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.