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Finding the Third Proportional to 295,566 and 633,140

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Solution

The third proportional to 295,566 and 633,140 is: 1,356,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,566 : 633,140 = 633,140 : x
  2. Step 2: Convert to fraction form
    295,566/633,140 = 633,140/x
  3. Step 3: Cross multiply
    295,566x = 633,140 × 633,140
  4. Step 4: Simplify right side
    295,566x = 400,866,259,600
  5. Step 5: Solve for x
    x = 400,866,259,600/295,566
  6. Step 6: Final answer
    x = 1,356,266.48

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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.