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Finding the Third Proportional to 476,090 and 652,827

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Solution

The third proportional to 476,090 and 652,827 is: 895,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,090 : 652,827 = 652,827 : x
  2. Step 2: Convert to fraction form
    476,090/652,827 = 652,827/x
  3. Step 3: Cross multiply
    476,090x = 652,827 × 652,827
  4. Step 4: Simplify right side
    476,090x = 426,183,091,929
  5. Step 5: Solve for x
    x = 426,183,091,929/476,090
  6. Step 6: Final answer
    x = 895,173.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.