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Finding the Third Proportional to 354,677.63 and 497,684.25

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Solution

The third proportional to 354,677.63 and 497,684.25 is: 698,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,677.63 : 497,684.25 = 497,684.25 : x
  2. Step 2: Convert to fraction form
    354,677.63/497,684.25 = 497,684.25/x
  3. Step 3: Cross multiply
    354,677.63x = 497,684.25 × 497,684.25
  4. Step 4: Simplify right side
    354,677.63x = 247,689,612,698.06
  5. Step 5: Solve for x
    x = 247,689,612,698.06/354,677.63
  6. Step 6: Final answer
    x = 698,351.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.