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Finding the Third Proportional to 289,294 and 592,682

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Solution

The third proportional to 289,294 and 592,682 is: 1,214,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294 : 592,682 = 592,682 : x
  2. Step 2: Convert to fraction form
    289,294/592,682 = 592,682/x
  3. Step 3: Cross multiply
    289,294x = 592,682 × 592,682
  4. Step 4: Simplify right side
    289,294x = 351,271,953,124
  5. Step 5: Solve for x
    x = 351,271,953,124/289,294
  6. Step 6: Final answer
    x = 1,214,238.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.