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Finding the Third Proportional to 273,000 and 585,528

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Solution

The third proportional to 273,000 and 585,528 is: 1,255,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,000 : 585,528 = 585,528 : x
  2. Step 2: Convert to fraction form
    273,000/585,528 = 585,528/x
  3. Step 3: Cross multiply
    273,000x = 585,528 × 585,528
  4. Step 4: Simplify right side
    273,000x = 342,843,038,784
  5. Step 5: Solve for x
    x = 342,843,038,784/273,000
  6. Step 6: Final answer
    x = 1,255,835.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.