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Finding the Third Proportional to 295,309.13 and 632,576.25

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Solution

The third proportional to 295,309.13 and 632,576.25 is: 1,355,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,309.13 : 632,576.25 = 632,576.25 : x
  2. Step 2: Convert to fraction form
    295,309.13/632,576.25 = 632,576.25/x
  3. Step 3: Cross multiply
    295,309.13x = 632,576.25 × 632,576.25
  4. Step 4: Simplify right side
    295,309.13x = 400,152,712,064.06
  5. Step 5: Solve for x
    x = 400,152,712,064.06/295,309.13
  6. Step 6: Final answer
    x = 1,355,029.96

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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.