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Finding the Third Proportional to 289,260 and 592,614

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Solution

The third proportional to 289,260 and 592,614 is: 1,214,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,260 : 592,614 = 592,614 : x
  2. Step 2: Convert to fraction form
    289,260/592,614 = 592,614/x
  3. Step 3: Cross multiply
    289,260x = 592,614 × 592,614
  4. Step 4: Simplify right side
    289,260x = 351,191,352,996
  5. Step 5: Solve for x
    x = 351,191,352,996/289,260
  6. Step 6: Final answer
    x = 1,214,102.72

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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.