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Finding the Third Proportional to 254,545 and 575,098.50

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Solution

The third proportional to 254,545 and 575,098.50 is: 1,299,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,545 : 575,098.50 = 575,098.50 : x
  2. Step 2: Convert to fraction form
    254,545/575,098.50 = 575,098.50/x
  3. Step 3: Cross multiply
    254,545x = 575,098.50 × 575,098.50
  4. Step 4: Simplify right side
    254,545x = 330,738,284,702.25
  5. Step 5: Solve for x
    x = 330,738,284,702.25/254,545
  6. Step 6: Final answer
    x = 1,299,331.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.