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Finding the Third Proportional to 289,737 and 461,029

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Solution

The third proportional to 289,737 and 461,029 is: 733,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,737 : 461,029 = 461,029 : x
  2. Step 2: Convert to fraction form
    289,737/461,029 = 461,029/x
  3. Step 3: Cross multiply
    289,737x = 461,029 × 461,029
  4. Step 4: Simplify right side
    289,737x = 212,547,738,841
  5. Step 5: Solve for x
    x = 212,547,738,841/289,737
  6. Step 6: Final answer
    x = 733,588.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.