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Finding the Third Proportional to 350,012 and 714,788

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Solution

The third proportional to 350,012 and 714,788 is: 1,459,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,012 : 714,788 = 714,788 : x
  2. Step 2: Convert to fraction form
    350,012/714,788 = 714,788/x
  3. Step 3: Cross multiply
    350,012x = 714,788 × 714,788
  4. Step 4: Simplify right side
    350,012x = 510,921,884,944
  5. Step 5: Solve for x
    x = 510,921,884,944/350,012
  6. Step 6: Final answer
    x = 1,459,726.77

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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.