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Finding the Third Proportional to 481,095 and 761,747

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Solution

The third proportional to 481,095 and 761,747 is: 1,206,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,095 : 761,747 = 761,747 : x
  2. Step 2: Convert to fraction form
    481,095/761,747 = 761,747/x
  3. Step 3: Cross multiply
    481,095x = 761,747 × 761,747
  4. Step 4: Simplify right side
    481,095x = 580,258,492,009
  5. Step 5: Solve for x
    x = 580,258,492,009/481,095
  6. Step 6: Final answer
    x = 1,206,120.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.