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Finding the Third Proportional to 358,820 and 754,816

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Solution

The third proportional to 358,820 and 754,816 is: 1,587,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,820 : 754,816 = 754,816 : x
  2. Step 2: Convert to fraction form
    358,820/754,816 = 754,816/x
  3. Step 3: Cross multiply
    358,820x = 754,816 × 754,816
  4. Step 4: Simplify right side
    358,820x = 569,747,193,856
  5. Step 5: Solve for x
    x = 569,747,193,856/358,820
  6. Step 6: Final answer
    x = 1,587,835.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.