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Finding the Third Proportional to 313,569.56 and 473,293.13

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Solution

The third proportional to 313,569.56 and 473,293.13 is: 714,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,569.56 : 473,293.13 = 473,293.13 : x
  2. Step 2: Convert to fraction form
    313,569.56/473,293.13 = 473,293.13/x
  3. Step 3: Cross multiply
    313,569.56x = 473,293.13 × 473,293.13
  4. Step 4: Simplify right side
    313,569.56x = 224,006,382,172.27
  5. Step 5: Solve for x
    x = 224,006,382,172.27/313,569.56
  6. Step 6: Final answer
    x = 714,375.40

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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.