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Finding the Third Proportional to 295,182 and 633,365

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Solution

The third proportional to 295,182 and 633,365 is: 1,358,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,182 : 633,365 = 633,365 : x
  2. Step 2: Convert to fraction form
    295,182/633,365 = 633,365/x
  3. Step 3: Cross multiply
    295,182x = 633,365 × 633,365
  4. Step 4: Simplify right side
    295,182x = 401,151,223,225
  5. Step 5: Solve for x
    x = 401,151,223,225/295,182
  6. Step 6: Final answer
    x = 1,358,996.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.