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Finding the Third Proportional to 531,470 and 795,747

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Solution

The third proportional to 531,470 and 795,747 is: 1,191,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,470 : 795,747 = 795,747 : x
  2. Step 2: Convert to fraction form
    531,470/795,747 = 795,747/x
  3. Step 3: Cross multiply
    531,470x = 795,747 × 795,747
  4. Step 4: Simplify right side
    531,470x = 633,213,288,009
  5. Step 5: Solve for x
    x = 633,213,288,009/531,470
  6. Step 6: Final answer
    x = 1,191,437.50

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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.