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Finding the Third Proportional to 712,921.50 and 1,585,237.50

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Solution

The third proportional to 712,921.50 and 1,585,237.50 is: 3,524,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,921.50 : 1,585,237.50 = 1,585,237.50 : x
  2. Step 2: Convert to fraction form
    712,921.50/1,585,237.50 = 1,585,237.50/x
  3. Step 3: Cross multiply
    712,921.50x = 1,585,237.50 × 1,585,237.50
  4. Step 4: Simplify right side
    712,921.50x = 2,512,977,931,406.25
  5. Step 5: Solve for x
    x = 2,512,977,931,406.25/712,921.50
  6. Step 6: Final answer
    x = 3,524,901.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.