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Finding the Third Proportional to 289,148 and 626,559

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Solution

The third proportional to 289,148 and 626,559 is: 1,357,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,148 : 626,559 = 626,559 : x
  2. Step 2: Convert to fraction form
    289,148/626,559 = 626,559/x
  3. Step 3: Cross multiply
    289,148x = 626,559 × 626,559
  4. Step 4: Simplify right side
    289,148x = 392,576,180,481
  5. Step 5: Solve for x
    x = 392,576,180,481/289,148
  6. Step 6: Final answer
    x = 1,357,699.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.