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Finding the Third Proportional to 351,528 and 544,768

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Solution

The third proportional to 351,528 and 544,768 is: 844,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,528 : 544,768 = 544,768 : x
  2. Step 2: Convert to fraction form
    351,528/544,768 = 544,768/x
  3. Step 3: Cross multiply
    351,528x = 544,768 × 544,768
  4. Step 4: Simplify right side
    351,528x = 296,772,173,824
  5. Step 5: Solve for x
    x = 296,772,173,824/351,528
  6. Step 6: Final answer
    x = 844,234.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.