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Finding the Third Proportional to 415,671.75 and 608,699.25

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Solution

The third proportional to 415,671.75 and 608,699.25 is: 891,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,671.75 : 608,699.25 = 608,699.25 : x
  2. Step 2: Convert to fraction form
    415,671.75/608,699.25 = 608,699.25/x
  3. Step 3: Cross multiply
    415,671.75x = 608,699.25 × 608,699.25
  4. Step 4: Simplify right side
    415,671.75x = 370,514,776,950.56
  5. Step 5: Solve for x
    x = 370,514,776,950.56/415,671.75
  6. Step 6: Final answer
    x = 891,363.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.