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Finding the Third Proportional to 472,608 and 708,912

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Solution

The third proportional to 472,608 and 708,912 is: 1,063,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,608 : 708,912 = 708,912 : x
  2. Step 2: Convert to fraction form
    472,608/708,912 = 708,912/x
  3. Step 3: Cross multiply
    472,608x = 708,912 × 708,912
  4. Step 4: Simplify right side
    472,608x = 502,556,223,744
  5. Step 5: Solve for x
    x = 502,556,223,744/472,608
  6. Step 6: Final answer
    x = 1,063,368

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.