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Finding the Third Proportional to 295,320 and 632,602

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Solution

The third proportional to 295,320 and 632,602 is: 1,355,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,320 : 632,602 = 632,602 : x
  2. Step 2: Convert to fraction form
    295,320/632,602 = 632,602/x
  3. Step 3: Cross multiply
    295,320x = 632,602 × 632,602
  4. Step 4: Simplify right side
    295,320x = 400,185,290,404
  5. Step 5: Solve for x
    x = 400,185,290,404/295,320
  6. Step 6: Final answer
    x = 1,355,090.38

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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.