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Finding the Third Proportional to 465,886 and 702,693

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Solution

The third proportional to 465,886 and 702,693 is: 1,059,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,886 : 702,693 = 702,693 : x
  2. Step 2: Convert to fraction form
    465,886/702,693 = 702,693/x
  3. Step 3: Cross multiply
    465,886x = 702,693 × 702,693
  4. Step 4: Simplify right side
    465,886x = 493,777,452,249
  5. Step 5: Solve for x
    x = 493,777,452,249/465,886
  6. Step 6: Final answer
    x = 1,059,867.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.