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Finding the Third Proportional to 476,271 and 725,572.50

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Solution

The third proportional to 476,271 and 725,572.50 is: 1,105,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,271 : 725,572.50 = 725,572.50 : x
  2. Step 2: Convert to fraction form
    476,271/725,572.50 = 725,572.50/x
  3. Step 3: Cross multiply
    476,271x = 725,572.50 × 725,572.50
  4. Step 4: Simplify right side
    476,271x = 526,455,452,756.25
  5. Step 5: Solve for x
    x = 526,455,452,756.25/476,271
  6. Step 6: Final answer
    x = 1,105,369.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.