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Finding the Third Proportional to 342,618 and 522,017

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Solution

The third proportional to 342,618 and 522,017 is: 795,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,618 : 522,017 = 522,017 : x
  2. Step 2: Convert to fraction form
    342,618/522,017 = 522,017/x
  3. Step 3: Cross multiply
    342,618x = 522,017 × 522,017
  4. Step 4: Simplify right side
    342,618x = 272,501,748,289
  5. Step 5: Solve for x
    x = 272,501,748,289/342,618
  6. Step 6: Final answer
    x = 795,351.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.