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Finding the Third Proportional to 306,046.50 and 719,868

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Solution

The third proportional to 306,046.50 and 719,868 is: 1,693,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,046.50 : 719,868 = 719,868 : x
  2. Step 2: Convert to fraction form
    306,046.50/719,868 = 719,868/x
  3. Step 3: Cross multiply
    306,046.50x = 719,868 × 719,868
  4. Step 4: Simplify right side
    306,046.50x = 518,209,937,424
  5. Step 5: Solve for x
    x = 518,209,937,424/306,046.50
  6. Step 6: Final answer
    x = 1,693,239.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.