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Finding the Third Proportional to 472,709.25 and 709,394.63

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Solution

The third proportional to 472,709.25 and 709,394.63 is: 1,064,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,709.25 : 709,394.63 = 709,394.63 : x
  2. Step 2: Convert to fraction form
    472,709.25/709,394.63 = 709,394.63/x
  3. Step 3: Cross multiply
    472,709.25x = 709,394.63 × 709,394.63
  4. Step 4: Simplify right side
    472,709.25x = 503,240,733,978.89
  5. Step 5: Solve for x
    x = 503,240,733,978.89/472,709.25
  6. Step 6: Final answer
    x = 1,064,588.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.