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Finding the Third Proportional to 513,037.50 and 1,124,580

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Solution

The third proportional to 513,037.50 and 1,124,580 is: 2,465,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,037.50 : 1,124,580 = 1,124,580 : x
  2. Step 2: Convert to fraction form
    513,037.50/1,124,580 = 1,124,580/x
  3. Step 3: Cross multiply
    513,037.50x = 1,124,580 × 1,124,580
  4. Step 4: Simplify right side
    513,037.50x = 1,264,680,176,400
  5. Step 5: Solve for x
    x = 1,264,680,176,400/513,037.50
  6. Step 6: Final answer
    x = 2,465,083.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.