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Finding the Third Proportional to 480,834 and 747,502

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Solution

The third proportional to 480,834 and 747,502 is: 1,162,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,834 : 747,502 = 747,502 : x
  2. Step 2: Convert to fraction form
    480,834/747,502 = 747,502/x
  3. Step 3: Cross multiply
    480,834x = 747,502 × 747,502
  4. Step 4: Simplify right side
    480,834x = 558,759,240,004
  5. Step 5: Solve for x
    x = 558,759,240,004/480,834
  6. Step 6: Final answer
    x = 1,162,062.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.