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Finding the Third Proportional to 459,306 and 675,351

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Solution

The third proportional to 459,306 and 675,351 is: 993,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,306 : 675,351 = 675,351 : x
  2. Step 2: Convert to fraction form
    459,306/675,351 = 675,351/x
  3. Step 3: Cross multiply
    459,306x = 675,351 × 675,351
  4. Step 4: Simplify right side
    459,306x = 456,098,973,201
  5. Step 5: Solve for x
    x = 456,098,973,201/459,306
  6. Step 6: Final answer
    x = 993,017.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.