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Finding the Third Proportional to 504,047.50 and 798,525

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Solution

The third proportional to 504,047.50 and 798,525 is: 1,265,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,047.50 : 798,525 = 798,525 : x
  2. Step 2: Convert to fraction form
    504,047.50/798,525 = 798,525/x
  3. Step 3: Cross multiply
    504,047.50x = 798,525 × 798,525
  4. Step 4: Simplify right side
    504,047.50x = 637,642,175,625
  5. Step 5: Solve for x
    x = 637,642,175,625/504,047.50
  6. Step 6: Final answer
    x = 1,265,043.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.