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Finding the Third Proportional to 350,696 and 745,132

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Solution

The third proportional to 350,696 and 745,132 is: 1,583,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,696 : 745,132 = 745,132 : x
  2. Step 2: Convert to fraction form
    350,696/745,132 = 745,132/x
  3. Step 3: Cross multiply
    350,696x = 745,132 × 745,132
  4. Step 4: Simplify right side
    350,696x = 555,221,697,424
  5. Step 5: Solve for x
    x = 555,221,697,424/350,696
  6. Step 6: Final answer
    x = 1,583,199.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.