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Finding the Third Proportional to 295,066 and 432,913

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Solution

The third proportional to 295,066 and 432,913 is: 635,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,066 : 432,913 = 432,913 : x
  2. Step 2: Convert to fraction form
    295,066/432,913 = 432,913/x
  3. Step 3: Cross multiply
    295,066x = 432,913 × 432,913
  4. Step 4: Simplify right side
    295,066x = 187,413,665,569
  5. Step 5: Solve for x
    x = 187,413,665,569/295,066
  6. Step 6: Final answer
    x = 635,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.