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Finding the Third Proportional to 350,061 and 714,904

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Solution

The third proportional to 350,061 and 714,904 is: 1,459,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,061 : 714,904 = 714,904 : x
  2. Step 2: Convert to fraction form
    350,061/714,904 = 714,904/x
  3. Step 3: Cross multiply
    350,061x = 714,904 × 714,904
  4. Step 4: Simplify right side
    350,061x = 511,087,729,216
  5. Step 5: Solve for x
    x = 511,087,729,216/350,061
  6. Step 6: Final answer
    x = 1,459,996.20

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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.