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Finding the Third Proportional to 258,360 and 557,472

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Solution

The third proportional to 258,360 and 557,472 is: 1,202,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,360 : 557,472 = 557,472 : x
  2. Step 2: Convert to fraction form
    258,360/557,472 = 557,472/x
  3. Step 3: Cross multiply
    258,360x = 557,472 × 557,472
  4. Step 4: Simplify right side
    258,360x = 310,775,030,784
  5. Step 5: Solve for x
    x = 310,775,030,784/258,360
  6. Step 6: Final answer
    x = 1,202,875.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.