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Finding the Third Proportional to 458,426 and 700,817

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Solution

The third proportional to 458,426 and 700,817 is: 1,071,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,426 : 700,817 = 700,817 : x
  2. Step 2: Convert to fraction form
    458,426/700,817 = 700,817/x
  3. Step 3: Cross multiply
    458,426x = 700,817 × 700,817
  4. Step 4: Simplify right side
    458,426x = 491,144,467,489
  5. Step 5: Solve for x
    x = 491,144,467,489/458,426
  6. Step 6: Final answer
    x = 1,071,371.32

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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.