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Finding the Third Proportional to 573,065 and 775,513

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Solution

The third proportional to 573,065 and 775,513 is: 1,049,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,065 : 775,513 = 775,513 : x
  2. Step 2: Convert to fraction form
    573,065/775,513 = 775,513/x
  3. Step 3: Cross multiply
    573,065x = 775,513 × 775,513
  4. Step 4: Simplify right side
    573,065x = 601,420,413,169
  5. Step 5: Solve for x
    x = 601,420,413,169/573,065
  6. Step 6: Final answer
    x = 1,049,480.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.