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Finding the Third Proportional to 295,152 and 633,306

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Solution

The third proportional to 295,152 and 633,306 is: 1,358,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,152 : 633,306 = 633,306 : x
  2. Step 2: Convert to fraction form
    295,152/633,306 = 633,306/x
  3. Step 3: Cross multiply
    295,152x = 633,306 × 633,306
  4. Step 4: Simplify right side
    295,152x = 401,076,489,636
  5. Step 5: Solve for x
    x = 401,076,489,636/295,152
  6. Step 6: Final answer
    x = 1,358,881.15

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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.