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Finding the Third Proportional to 253,200 and 546,528

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Solution

The third proportional to 253,200 and 546,528 is: 1,179,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,200 : 546,528 = 546,528 : x
  2. Step 2: Convert to fraction form
    253,200/546,528 = 546,528/x
  3. Step 3: Cross multiply
    253,200x = 546,528 × 546,528
  4. Step 4: Simplify right side
    253,200x = 298,692,854,784
  5. Step 5: Solve for x
    x = 298,692,854,784/253,200
  6. Step 6: Final answer
    x = 1,179,671.62

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