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Finding the Third Proportional to 295,368 and 632,736

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Solution

The third proportional to 295,368 and 632,736 is: 1,355,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,368 : 632,736 = 632,736 : x
  2. Step 2: Convert to fraction form
    295,368/632,736 = 632,736/x
  3. Step 3: Cross multiply
    295,368x = 632,736 × 632,736
  4. Step 4: Simplify right side
    295,368x = 400,354,845,696
  5. Step 5: Solve for x
    x = 400,354,845,696/295,368
  6. Step 6: Final answer
    x = 1,355,444.21

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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.