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Finding the Third Proportional to 295,207 and 632,407

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Solution

The third proportional to 295,207 and 632,407 is: 1,354,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,207 : 632,407 = 632,407 : x
  2. Step 2: Convert to fraction form
    295,207/632,407 = 632,407/x
  3. Step 3: Cross multiply
    295,207x = 632,407 × 632,407
  4. Step 4: Simplify right side
    295,207x = 399,938,613,649
  5. Step 5: Solve for x
    x = 399,938,613,649/295,207
  6. Step 6: Final answer
    x = 1,354,773.48

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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.