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Finding the Third Proportional to 295,209 and 632,411

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Solution

The third proportional to 295,209 and 632,411 is: 1,354,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,209 : 632,411 = 632,411 : x
  2. Step 2: Convert to fraction form
    295,209/632,411 = 632,411/x
  3. Step 3: Cross multiply
    295,209x = 632,411 × 632,411
  4. Step 4: Simplify right side
    295,209x = 399,943,672,921
  5. Step 5: Solve for x
    x = 399,943,672,921/295,209
  6. Step 6: Final answer
    x = 1,354,781.44

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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.