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Finding the Third Proportional to 305,946 and 662,730

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Solution

The third proportional to 305,946 and 662,730 is: 1,435,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,946 : 662,730 = 662,730 : x
  2. Step 2: Convert to fraction form
    305,946/662,730 = 662,730/x
  3. Step 3: Cross multiply
    305,946x = 662,730 × 662,730
  4. Step 4: Simplify right side
    305,946x = 439,211,052,900
  5. Step 5: Solve for x
    x = 439,211,052,900/305,946
  6. Step 6: Final answer
    x = 1,435,583.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.