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Finding the Third Proportional to 489,868 and 749,346

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Solution

The third proportional to 489,868 and 749,346 is: 1,146,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,868 : 749,346 = 749,346 : x
  2. Step 2: Convert to fraction form
    489,868/749,346 = 749,346/x
  3. Step 3: Cross multiply
    489,868x = 749,346 × 749,346
  4. Step 4: Simplify right side
    489,868x = 561,519,427,716
  5. Step 5: Solve for x
    x = 561,519,427,716/489,868
  6. Step 6: Final answer
    x = 1,146,266.81

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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.