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Finding the Third Proportional to 358,734 and 754,647

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Solution

The third proportional to 358,734 and 754,647 is: 1,587,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,734 : 754,647 = 754,647 : x
  2. Step 2: Convert to fraction form
    358,734/754,647 = 754,647/x
  3. Step 3: Cross multiply
    358,734x = 754,647 × 754,647
  4. Step 4: Simplify right side
    358,734x = 569,492,094,609
  5. Step 5: Solve for x
    x = 569,492,094,609/358,734
  6. Step 6: Final answer
    x = 1,587,505.21

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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.