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Finding the Third Proportional to 353,382 and 525,273

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Solution

The third proportional to 353,382 and 525,273 is: 780,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,382 : 525,273 = 525,273 : x
  2. Step 2: Convert to fraction form
    353,382/525,273 = 525,273/x
  3. Step 3: Cross multiply
    353,382x = 525,273 × 525,273
  4. Step 4: Simplify right side
    353,382x = 275,911,724,529
  5. Step 5: Solve for x
    x = 275,911,724,529/353,382
  6. Step 6: Final answer
    x = 780,774.70

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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.