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Finding the Third Proportional to 323,735 and 507,844

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Solution

The third proportional to 323,735 and 507,844 is: 796,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,735 : 507,844 = 507,844 : x
  2. Step 2: Convert to fraction form
    323,735/507,844 = 507,844/x
  3. Step 3: Cross multiply
    323,735x = 507,844 × 507,844
  4. Step 4: Simplify right side
    323,735x = 257,905,528,336
  5. Step 5: Solve for x
    x = 257,905,528,336/323,735
  6. Step 6: Final answer
    x = 796,656.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.