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Finding the Third Proportional to 337,584 and 477,664

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Solution

The third proportional to 337,584 and 477,664 is: 675,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,584 : 477,664 = 477,664 : x
  2. Step 2: Convert to fraction form
    337,584/477,664 = 477,664/x
  3. Step 3: Cross multiply
    337,584x = 477,664 × 477,664
  4. Step 4: Simplify right side
    337,584x = 228,162,896,896
  5. Step 5: Solve for x
    x = 228,162,896,896/337,584
  6. Step 6: Final answer
    x = 675,870.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.