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Finding the Third Proportional to 367,330 and 567,618

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Solution

The third proportional to 367,330 and 567,618 is: 877,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,330 : 567,618 = 567,618 : x
  2. Step 2: Convert to fraction form
    367,330/567,618 = 567,618/x
  3. Step 3: Cross multiply
    367,330x = 567,618 × 567,618
  4. Step 4: Simplify right side
    367,330x = 322,190,193,924
  5. Step 5: Solve for x
    x = 322,190,193,924/367,330
  6. Step 6: Final answer
    x = 877,113.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.