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Finding the Third Proportional to 471,685 and 725,880

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Solution

The third proportional to 471,685 and 725,880 is: 1,117,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,685 : 725,880 = 725,880 : x
  2. Step 2: Convert to fraction form
    471,685/725,880 = 725,880/x
  3. Step 3: Cross multiply
    471,685x = 725,880 × 725,880
  4. Step 4: Simplify right side
    471,685x = 526,901,774,400
  5. Step 5: Solve for x
    x = 526,901,774,400/471,685
  6. Step 6: Final answer
    x = 1,117,062.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.