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Finding the Third Proportional to 289,158 and 626,579

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Solution

The third proportional to 289,158 and 626,579 is: 1,357,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,158 : 626,579 = 626,579 : x
  2. Step 2: Convert to fraction form
    289,158/626,579 = 626,579/x
  3. Step 3: Cross multiply
    289,158x = 626,579 × 626,579
  4. Step 4: Simplify right side
    289,158x = 392,601,243,241
  5. Step 5: Solve for x
    x = 392,601,243,241/289,158
  6. Step 6: Final answer
    x = 1,357,739.52

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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.