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Finding the Third Proportional to 565,387 and 874,326

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Solution

The third proportional to 565,387 and 874,326 is: 1,352,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,387 : 874,326 = 874,326 : x
  2. Step 2: Convert to fraction form
    565,387/874,326 = 874,326/x
  3. Step 3: Cross multiply
    565,387x = 874,326 × 874,326
  4. Step 4: Simplify right side
    565,387x = 764,445,954,276
  5. Step 5: Solve for x
    x = 764,445,954,276/565,387
  6. Step 6: Final answer
    x = 1,352,075.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.