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Finding the Third Proportional to 295,092 and 632,260

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Solution

The third proportional to 295,092 and 632,260 is: 1,354,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,092 : 632,260 = 632,260 : x
  2. Step 2: Convert to fraction form
    295,092/632,260 = 632,260/x
  3. Step 3: Cross multiply
    295,092x = 632,260 × 632,260
  4. Step 4: Simplify right side
    295,092x = 399,752,707,600
  5. Step 5: Solve for x
    x = 399,752,707,600/295,092
  6. Step 6: Final answer
    x = 1,354,671.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.