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Finding the Third Proportional to 473,995.13 and 670,690.13

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Solution

The third proportional to 473,995.13 and 670,690.13 is: 949,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,995.13 : 670,690.13 = 670,690.13 : x
  2. Step 2: Convert to fraction form
    473,995.13/670,690.13 = 670,690.13/x
  3. Step 3: Cross multiply
    473,995.13x = 670,690.13 × 670,690.13
  4. Step 4: Simplify right side
    473,995.13x = 449,825,243,772.52
  5. Step 5: Solve for x
    x = 449,825,243,772.52/473,995.13
  6. Step 6: Final answer
    x = 949,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.