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Finding the Third Proportional to 307,926 and 661,688

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Solution

The third proportional to 307,926 and 661,688 is: 1,421,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,926 : 661,688 = 661,688 : x
  2. Step 2: Convert to fraction form
    307,926/661,688 = 661,688/x
  3. Step 3: Cross multiply
    307,926x = 661,688 × 661,688
  4. Step 4: Simplify right side
    307,926x = 437,831,009,344
  5. Step 5: Solve for x
    x = 437,831,009,344/307,926
  6. Step 6: Final answer
    x = 1,421,870.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.