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Finding the Third Proportional to 477,576 and 745,416

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Solution

The third proportional to 477,576 and 745,416 is: 1,163,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,576 : 745,416 = 745,416 : x
  2. Step 2: Convert to fraction form
    477,576/745,416 = 745,416/x
  3. Step 3: Cross multiply
    477,576x = 745,416 × 745,416
  4. Step 4: Simplify right side
    477,576x = 555,645,013,056
  5. Step 5: Solve for x
    x = 555,645,013,056/477,576
  6. Step 6: Final answer
    x = 1,163,469.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.