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Finding the Third Proportional to 358,884 and 754,950

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Solution

The third proportional to 358,884 and 754,950 is: 1,588,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,884 : 754,950 = 754,950 : x
  2. Step 2: Convert to fraction form
    358,884/754,950 = 754,950/x
  3. Step 3: Cross multiply
    358,884x = 754,950 × 754,950
  4. Step 4: Simplify right side
    358,884x = 569,949,502,500
  5. Step 5: Solve for x
    x = 569,949,502,500/358,884
  6. Step 6: Final answer
    x = 1,588,116.22

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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.