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Finding the Third Proportional to 252,316 and 379,536

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Solution

The third proportional to 252,316 and 379,536 is: 570,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,316 : 379,536 = 379,536 : x
  2. Step 2: Convert to fraction form
    252,316/379,536 = 379,536/x
  3. Step 3: Cross multiply
    252,316x = 379,536 × 379,536
  4. Step 4: Simplify right side
    252,316x = 144,047,575,296
  5. Step 5: Solve for x
    x = 144,047,575,296/252,316
  6. Step 6: Final answer
    x = 570,901.47

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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.