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Finding the Third Proportional to 457,856 and 700,396

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Solution

The third proportional to 457,856 and 700,396 is: 1,071,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,856 : 700,396 = 700,396 : x
  2. Step 2: Convert to fraction form
    457,856/700,396 = 700,396/x
  3. Step 3: Cross multiply
    457,856x = 700,396 × 700,396
  4. Step 4: Simplify right side
    457,856x = 490,554,556,816
  5. Step 5: Solve for x
    x = 490,554,556,816/457,856
  6. Step 6: Final answer
    x = 1,071,416.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.