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Finding the Third Proportional to 350,054 and 714,892

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Solution

The third proportional to 350,054 and 714,892 is: 1,459,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,054 : 714,892 = 714,892 : x
  2. Step 2: Convert to fraction form
    350,054/714,892 = 714,892/x
  3. Step 3: Cross multiply
    350,054x = 714,892 × 714,892
  4. Step 4: Simplify right side
    350,054x = 511,070,571,664
  5. Step 5: Solve for x
    x = 511,070,571,664/350,054
  6. Step 6: Final answer
    x = 1,459,976.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.