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Finding the Third Proportional to 289,306 and 592,705

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Solution

The third proportional to 289,306 and 592,705 is: 1,214,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,306 : 592,705 = 592,705 : x
  2. Step 2: Convert to fraction form
    289,306/592,705 = 592,705/x
  3. Step 3: Cross multiply
    289,306x = 592,705 × 592,705
  4. Step 4: Simplify right side
    289,306x = 351,299,217,025
  5. Step 5: Solve for x
    x = 351,299,217,025/289,306
  6. Step 6: Final answer
    x = 1,214,282.51

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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.