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Finding the Third Proportional to 256,726 and 572,482

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Solution

The third proportional to 256,726 and 572,482 is: 1,276,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,726 : 572,482 = 572,482 : x
  2. Step 2: Convert to fraction form
    256,726/572,482 = 572,482/x
  3. Step 3: Cross multiply
    256,726x = 572,482 × 572,482
  4. Step 4: Simplify right side
    256,726x = 327,735,640,324
  5. Step 5: Solve for x
    x = 327,735,640,324/256,726
  6. Step 6: Final answer
    x = 1,276,597.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.