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Finding the Third Proportional to 524,947.50 and 1,124,248.50

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Solution

The third proportional to 524,947.50 and 1,124,248.50 is: 2,407,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,947.50 : 1,124,248.50 = 1,124,248.50 : x
  2. Step 2: Convert to fraction form
    524,947.50/1,124,248.50 = 1,124,248.50/x
  3. Step 3: Cross multiply
    524,947.50x = 1,124,248.50 × 1,124,248.50
  4. Step 4: Simplify right side
    524,947.50x = 1,263,934,689,752.25
  5. Step 5: Solve for x
    x = 1,263,934,689,752.25/524,947.50
  6. Step 6: Final answer
    x = 2,407,735.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.