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Finding the Third Proportional to 303,681 and 703,038

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Solution

The third proportional to 303,681 and 703,038 is: 1,627,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,681 : 703,038 = 703,038 : x
  2. Step 2: Convert to fraction form
    303,681/703,038 = 703,038/x
  3. Step 3: Cross multiply
    303,681x = 703,038 × 703,038
  4. Step 4: Simplify right side
    303,681x = 494,262,429,444
  5. Step 5: Solve for x
    x = 494,262,429,444/303,681
  6. Step 6: Final answer
    x = 1,627,571.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.