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Finding the Third Proportional to 295,311 and 632,581

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Solution

The third proportional to 295,311 and 632,581 is: 1,355,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,311 : 632,581 = 632,581 : x
  2. Step 2: Convert to fraction form
    295,311/632,581 = 632,581/x
  3. Step 3: Cross multiply
    295,311x = 632,581 × 632,581
  4. Step 4: Simplify right side
    295,311x = 400,158,721,561
  5. Step 5: Solve for x
    x = 400,158,721,561/295,311
  6. Step 6: Final answer
    x = 1,355,041.71

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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.