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Finding the Third Proportional to 313,566.75 and 473,288.63

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Solution

The third proportional to 313,566.75 and 473,288.63 is: 714,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,566.75 : 473,288.63 = 473,288.63 : x
  2. Step 2: Convert to fraction form
    313,566.75/473,288.63 = 473,288.63/x
  3. Step 3: Cross multiply
    313,566.75x = 473,288.63 × 473,288.63
  4. Step 4: Simplify right side
    313,566.75x = 224,002,122,554.39
  5. Step 5: Solve for x
    x = 224,002,122,554.39/313,566.75
  6. Step 6: Final answer
    x = 714,368.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.