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Finding the Third Proportional to 714,458 and 1,527,173.50

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Solution

The third proportional to 714,458 and 1,527,173.50 is: 3,264,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,458 : 1,527,173.50 = 1,527,173.50 : x
  2. Step 2: Convert to fraction form
    714,458/1,527,173.50 = 1,527,173.50/x
  3. Step 3: Cross multiply
    714,458x = 1,527,173.50 × 1,527,173.50
  4. Step 4: Simplify right side
    714,458x = 2,332,258,899,102.25
  5. Step 5: Solve for x
    x = 2,332,258,899,102.25/714,458
  6. Step 6: Final answer
    x = 3,264,375.09

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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.