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Finding the Third Proportional to 295,596 and 432,906

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Solution

The third proportional to 295,596 and 432,906 is: 633,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,596 : 432,906 = 432,906 : x
  2. Step 2: Convert to fraction form
    295,596/432,906 = 432,906/x
  3. Step 3: Cross multiply
    295,596x = 432,906 × 432,906
  4. Step 4: Simplify right side
    295,596x = 187,407,604,836
  5. Step 5: Solve for x
    x = 187,407,604,836/295,596
  6. Step 6: Final answer
    x = 633,999.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.