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Finding the Third Proportional to 580,875.14 and 1,258,251.66

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Solution

The third proportional to 580,875.14 and 1,258,251.66 is: 2,725,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,875.14 : 1,258,251.66 = 1,258,251.66 : x
  2. Step 2: Convert to fraction form
    580,875.14/1,258,251.66 = 1,258,251.66/x
  3. Step 3: Cross multiply
    580,875.14x = 1,258,251.66 × 1,258,251.66
  4. Step 4: Simplify right side
    580,875.14x = 1,583,197,230,455.87
  5. Step 5: Solve for x
    x = 1,583,197,230,455.87/580,875.14
  6. Step 6: Final answer
    x = 2,725,537.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.