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Finding the Third Proportional to 395,084 and 627,618

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Solution

The third proportional to 395,084 and 627,618 is: 997,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,084 : 627,618 = 627,618 : x
  2. Step 2: Convert to fraction form
    395,084/627,618 = 627,618/x
  3. Step 3: Cross multiply
    395,084x = 627,618 × 627,618
  4. Step 4: Simplify right side
    395,084x = 393,904,353,924
  5. Step 5: Solve for x
    x = 393,904,353,924/395,084
  6. Step 6: Final answer
    x = 997,014.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.