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Finding the Third Proportional to 409,886 and 573,180

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Solution

The third proportional to 409,886 and 573,180 is: 801,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,886 : 573,180 = 573,180 : x
  2. Step 2: Convert to fraction form
    409,886/573,180 = 573,180/x
  3. Step 3: Cross multiply
    409,886x = 573,180 × 573,180
  4. Step 4: Simplify right side
    409,886x = 328,535,312,400
  5. Step 5: Solve for x
    x = 328,535,312,400/409,886
  6. Step 6: Final answer
    x = 801,528.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.