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Finding the Third Proportional to 313,548 and 740,030

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Solution

The third proportional to 313,548 and 740,030 is: 1,746,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,548 : 740,030 = 740,030 : x
  2. Step 2: Convert to fraction form
    313,548/740,030 = 740,030/x
  3. Step 3: Cross multiply
    313,548x = 740,030 × 740,030
  4. Step 4: Simplify right side
    313,548x = 547,644,400,900
  5. Step 5: Solve for x
    x = 547,644,400,900/313,548
  6. Step 6: Final answer
    x = 1,746,604.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.