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Finding the Third Proportional to 295,387 and 632,806

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Solution

The third proportional to 295,387 and 632,806 is: 1,355,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,387 : 632,806 = 632,806 : x
  2. Step 2: Convert to fraction form
    295,387/632,806 = 632,806/x
  3. Step 3: Cross multiply
    295,387x = 632,806 × 632,806
  4. Step 4: Simplify right side
    295,387x = 400,443,433,636
  5. Step 5: Solve for x
    x = 400,443,433,636/295,387
  6. Step 6: Final answer
    x = 1,355,656.93

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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.