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Finding the Third Proportional to 353,502 and 747,945

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Solution

The third proportional to 353,502 and 747,945 is: 1,582,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,502 : 747,945 = 747,945 : x
  2. Step 2: Convert to fraction form
    353,502/747,945 = 747,945/x
  3. Step 3: Cross multiply
    353,502x = 747,945 × 747,945
  4. Step 4: Simplify right side
    353,502x = 559,421,723,025
  5. Step 5: Solve for x
    x = 559,421,723,025/353,502
  6. Step 6: Final answer
    x = 1,582,513.60

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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.