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Finding the Third Proportional to 407,878 and 573,361

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Solution

The third proportional to 407,878 and 573,361 is: 805,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,878 : 573,361 = 573,361 : x
  2. Step 2: Convert to fraction form
    407,878/573,361 = 573,361/x
  3. Step 3: Cross multiply
    407,878x = 573,361 × 573,361
  4. Step 4: Simplify right side
    407,878x = 328,742,836,321
  5. Step 5: Solve for x
    x = 328,742,836,321/407,878
  6. Step 6: Final answer
    x = 805,983.25

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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.