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Finding the Third Proportional to 475,608 and 652,176

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Solution

The third proportional to 475,608 and 652,176 is: 894,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,608 : 652,176 = 652,176 : x
  2. Step 2: Convert to fraction form
    475,608/652,176 = 652,176/x
  3. Step 3: Cross multiply
    475,608x = 652,176 × 652,176
  4. Step 4: Simplify right side
    475,608x = 425,333,534,976
  5. Step 5: Solve for x
    x = 425,333,534,976/475,608
  6. Step 6: Final answer
    x = 894,294.32

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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.