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Finding the Third Proportional to 464,618 and 654,293

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Solution

The third proportional to 464,618 and 654,293 is: 921,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,618 : 654,293 = 654,293 : x
  2. Step 2: Convert to fraction form
    464,618/654,293 = 654,293/x
  3. Step 3: Cross multiply
    464,618x = 654,293 × 654,293
  4. Step 4: Simplify right side
    464,618x = 428,099,329,849
  5. Step 5: Solve for x
    x = 428,099,329,849/464,618
  6. Step 6: Final answer
    x = 921,400.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.