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Finding the Third Proportional to 546,875 and 855,933

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Solution

The third proportional to 546,875 and 855,933 is: 1,339,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,875 : 855,933 = 855,933 : x
  2. Step 2: Convert to fraction form
    546,875/855,933 = 855,933/x
  3. Step 3: Cross multiply
    546,875x = 855,933 × 855,933
  4. Step 4: Simplify right side
    546,875x = 732,621,300,489
  5. Step 5: Solve for x
    x = 732,621,300,489/546,875
  6. Step 6: Final answer
    x = 1,339,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.