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Finding the Third Proportional to 458,424 and 700,808

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Solution

The third proportional to 458,424 and 700,808 is: 1,071,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,424 : 700,808 = 700,808 : x
  2. Step 2: Convert to fraction form
    458,424/700,808 = 700,808/x
  3. Step 3: Cross multiply
    458,424x = 700,808 × 700,808
  4. Step 4: Simplify right side
    458,424x = 491,131,852,864
  5. Step 5: Solve for x
    x = 491,131,852,864/458,424
  6. Step 6: Final answer
    x = 1,071,348.47

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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.