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Finding the Third Proportional to 336,068 and 725,798

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Solution

The third proportional to 336,068 and 725,798 is: 1,567,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,068 : 725,798 = 725,798 : x
  2. Step 2: Convert to fraction form
    336,068/725,798 = 725,798/x
  3. Step 3: Cross multiply
    336,068x = 725,798 × 725,798
  4. Step 4: Simplify right side
    336,068x = 526,782,736,804
  5. Step 5: Solve for x
    x = 526,782,736,804/336,068
  6. Step 6: Final answer
    x = 1,567,488.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.