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Finding the Third Proportional to 256,572 and 546,360.75

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Solution

The third proportional to 256,572 and 546,360.75 is: 1,163,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,572 : 546,360.75 = 546,360.75 : x
  2. Step 2: Convert to fraction form
    256,572/546,360.75 = 546,360.75/x
  3. Step 3: Cross multiply
    256,572x = 546,360.75 × 546,360.75
  4. Step 4: Simplify right side
    256,572x = 298,510,069,140.56
  5. Step 5: Solve for x
    x = 298,510,069,140.56/256,572
  6. Step 6: Final answer
    x = 1,163,455.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.