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Finding the Third Proportional to 393,618 and 626,627

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Solution

The third proportional to 393,618 and 626,627 is: 997,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,618 : 626,627 = 626,627 : x
  2. Step 2: Convert to fraction form
    393,618/626,627 = 626,627/x
  3. Step 3: Cross multiply
    393,618x = 626,627 × 626,627
  4. Step 4: Simplify right side
    393,618x = 392,661,397,129
  5. Step 5: Solve for x
    x = 392,661,397,129/393,618
  6. Step 6: Final answer
    x = 997,569.72

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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.