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Finding the Third Proportional to 289,294.50 and 592,683

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Solution

The third proportional to 289,294.50 and 592,683 is: 1,214,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.50 : 592,683 = 592,683 : x
  2. Step 2: Convert to fraction form
    289,294.50/592,683 = 592,683/x
  3. Step 3: Cross multiply
    289,294.50x = 592,683 × 592,683
  4. Step 4: Simplify right side
    289,294.50x = 351,273,138,489
  5. Step 5: Solve for x
    x = 351,273,138,489/289,294.50
  6. Step 6: Final answer
    x = 1,214,240.64

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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.