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Finding the Third Proportional to 415,987.50 and 594,451.50

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Solution

The third proportional to 415,987.50 and 594,451.50 is: 849,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,987.50 : 594,451.50 = 594,451.50 : x
  2. Step 2: Convert to fraction form
    415,987.50/594,451.50 = 594,451.50/x
  3. Step 3: Cross multiply
    415,987.50x = 594,451.50 × 594,451.50
  4. Step 4: Simplify right side
    415,987.50x = 353,372,585,852.25
  5. Step 5: Solve for x
    x = 353,372,585,852.25/415,987.50
  6. Step 6: Final answer
    x = 849,478.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.