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Finding the Third Proportional to 571,484 and 783,660

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Solution

The third proportional to 571,484 and 783,660 is: 1,074,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,484 : 783,660 = 783,660 : x
  2. Step 2: Convert to fraction form
    571,484/783,660 = 783,660/x
  3. Step 3: Cross multiply
    571,484x = 783,660 × 783,660
  4. Step 4: Simplify right side
    571,484x = 614,122,995,600
  5. Step 5: Solve for x
    x = 614,122,995,600/571,484
  6. Step 6: Final answer
    x = 1,074,611.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.