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Finding the Third Proportional to 352,213 and 749,971

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Solution

The third proportional to 352,213 and 749,971 is: 1,596,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,213 : 749,971 = 749,971 : x
  2. Step 2: Convert to fraction form
    352,213/749,971 = 749,971/x
  3. Step 3: Cross multiply
    352,213x = 749,971 × 749,971
  4. Step 4: Simplify right side
    352,213x = 562,456,500,841
  5. Step 5: Solve for x
    x = 562,456,500,841/352,213
  6. Step 6: Final answer
    x = 1,596,921.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.