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Finding the Third Proportional to 289,156 and 626,575

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Solution

The third proportional to 289,156 and 626,575 is: 1,357,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,156 : 626,575 = 626,575 : x
  2. Step 2: Convert to fraction form
    289,156/626,575 = 626,575/x
  3. Step 3: Cross multiply
    289,156x = 626,575 × 626,575
  4. Step 4: Simplify right side
    289,156x = 392,596,230,625
  5. Step 5: Solve for x
    x = 392,596,230,625/289,156
  6. Step 6: Final answer
    x = 1,357,731.57

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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.