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Finding the Third Proportional to 233,064 and 507,644

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Solution

The third proportional to 233,064 and 507,644 is: 1,105,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,064 : 507,644 = 507,644 : x
  2. Step 2: Convert to fraction form
    233,064/507,644 = 507,644/x
  3. Step 3: Cross multiply
    233,064x = 507,644 × 507,644
  4. Step 4: Simplify right side
    233,064x = 257,702,430,736
  5. Step 5: Solve for x
    x = 257,702,430,736/233,064
  6. Step 6: Final answer
    x = 1,105,715.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.