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Finding the Third Proportional to 411,265 and 560,278.50

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Solution

The third proportional to 411,265 and 560,278.50 is: 763,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,265 : 560,278.50 = 560,278.50 : x
  2. Step 2: Convert to fraction form
    411,265/560,278.50 = 560,278.50/x
  3. Step 3: Cross multiply
    411,265x = 560,278.50 × 560,278.50
  4. Step 4: Simplify right side
    411,265x = 313,911,997,562.25
  5. Step 5: Solve for x
    x = 313,911,997,562.25/411,265
  6. Step 6: Final answer
    x = 763,284.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.