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Finding the Third Proportional to 358,284 and 535,554

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Solution

The third proportional to 358,284 and 535,554 is: 800,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,284 : 535,554 = 535,554 : x
  2. Step 2: Convert to fraction form
    358,284/535,554 = 535,554/x
  3. Step 3: Cross multiply
    358,284x = 535,554 × 535,554
  4. Step 4: Simplify right side
    358,284x = 286,818,086,916
  5. Step 5: Solve for x
    x = 286,818,086,916/358,284
  6. Step 6: Final answer
    x = 800,532.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.