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Finding the Third Proportional to 232,114 and 507,968

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Solution

The third proportional to 232,114 and 507,968 is: 1,111,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,114 : 507,968 = 507,968 : x
  2. Step 2: Convert to fraction form
    232,114/507,968 = 507,968/x
  3. Step 3: Cross multiply
    232,114x = 507,968 × 507,968
  4. Step 4: Simplify right side
    232,114x = 258,031,489,024
  5. Step 5: Solve for x
    x = 258,031,489,024/232,114
  6. Step 6: Final answer
    x = 1,111,658.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.