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Finding the Third Proportional to 250,570 and 546,364

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Solution

The third proportional to 250,570 and 546,364 is: 1,191,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,570 : 546,364 = 546,364 : x
  2. Step 2: Convert to fraction form
    250,570/546,364 = 546,364/x
  3. Step 3: Cross multiply
    250,570x = 546,364 × 546,364
  4. Step 4: Simplify right side
    250,570x = 298,513,620,496
  5. Step 5: Solve for x
    x = 298,513,620,496/250,570
  6. Step 6: Final answer
    x = 1,191,338.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.