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Finding the Third Proportional to 383,688 and 575,536

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Solution

The third proportional to 383,688 and 575,536 is: 863,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,688 : 575,536 = 575,536 : x
  2. Step 2: Convert to fraction form
    383,688/575,536 = 575,536/x
  3. Step 3: Cross multiply
    383,688x = 575,536 × 575,536
  4. Step 4: Simplify right side
    383,688x = 331,241,687,296
  5. Step 5: Solve for x
    x = 331,241,687,296/383,688
  6. Step 6: Final answer
    x = 863,310.00

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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.