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Finding the Third Proportional to 249,779.50 and 525,667

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Solution

The third proportional to 249,779.50 and 525,667 is: 1,106,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,779.50 : 525,667 = 525,667 : x
  2. Step 2: Convert to fraction form
    249,779.50/525,667 = 525,667/x
  3. Step 3: Cross multiply
    249,779.50x = 525,667 × 525,667
  4. Step 4: Simplify right side
    249,779.50x = 276,325,794,889
  5. Step 5: Solve for x
    x = 276,325,794,889/249,779.50
  6. Step 6: Final answer
    x = 1,106,278.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.