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Finding the Third Proportional to 295,258 and 433,045

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Solution

The third proportional to 295,258 and 433,045 is: 635,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,258 : 433,045 = 433,045 : x
  2. Step 2: Convert to fraction form
    295,258/433,045 = 433,045/x
  3. Step 3: Cross multiply
    295,258x = 433,045 × 433,045
  4. Step 4: Simplify right side
    295,258x = 187,527,972,025
  5. Step 5: Solve for x
    x = 187,527,972,025/295,258
  6. Step 6: Final answer
    x = 635,132.57

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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.