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Finding the Third Proportional to 353,284 and 528,582

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Solution

The third proportional to 353,284 and 528,582 is: 790,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,284 : 528,582 = 528,582 : x
  2. Step 2: Convert to fraction form
    353,284/528,582 = 528,582/x
  3. Step 3: Cross multiply
    353,284x = 528,582 × 528,582
  4. Step 4: Simplify right side
    353,284x = 279,398,930,724
  5. Step 5: Solve for x
    x = 279,398,930,724/353,284
  6. Step 6: Final answer
    x = 790,862.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.