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Finding the Third Proportional to 350,844 and 725,758

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Solution

The third proportional to 350,844 and 725,758 is: 1,501,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,844 : 725,758 = 725,758 : x
  2. Step 2: Convert to fraction form
    350,844/725,758 = 725,758/x
  3. Step 3: Cross multiply
    350,844x = 725,758 × 725,758
  4. Step 4: Simplify right side
    350,844x = 526,724,674,564
  5. Step 5: Solve for x
    x = 526,724,674,564/350,844
  6. Step 6: Final answer
    x = 1,501,307.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.