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Finding the Third Proportional to 290,470 and 607,544

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Solution

The third proportional to 290,470 and 607,544 is: 1,270,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,470 : 607,544 = 607,544 : x
  2. Step 2: Convert to fraction form
    290,470/607,544 = 607,544/x
  3. Step 3: Cross multiply
    290,470x = 607,544 × 607,544
  4. Step 4: Simplify right side
    290,470x = 369,109,711,936
  5. Step 5: Solve for x
    x = 369,109,711,936/290,470
  6. Step 6: Final answer
    x = 1,270,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.