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Finding the Third Proportional to 473,040 and 714,456

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Solution

The third proportional to 473,040 and 714,456 is: 1,079,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,040 : 714,456 = 714,456 : x
  2. Step 2: Convert to fraction form
    473,040/714,456 = 714,456/x
  3. Step 3: Cross multiply
    473,040x = 714,456 × 714,456
  4. Step 4: Simplify right side
    473,040x = 510,447,375,936
  5. Step 5: Solve for x
    x = 510,447,375,936/473,040
  6. Step 6: Final answer
    x = 1,079,078.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.