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Finding the Third Proportional to 292,075.75 and 627,779.50

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Solution

The third proportional to 292,075.75 and 627,779.50 is: 1,349,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,075.75 : 627,779.50 = 627,779.50 : x
  2. Step 2: Convert to fraction form
    292,075.75/627,779.50 = 627,779.50/x
  3. Step 3: Cross multiply
    292,075.75x = 627,779.50 × 627,779.50
  4. Step 4: Simplify right side
    292,075.75x = 394,107,100,620.25
  5. Step 5: Solve for x
    x = 394,107,100,620.25/292,075.75
  6. Step 6: Final answer
    x = 1,349,331.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.