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Finding the Third Proportional to 264,388 and 546,560

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Solution

The third proportional to 264,388 and 546,560 is: 1,129,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,388 : 546,560 = 546,560 : x
  2. Step 2: Convert to fraction form
    264,388/546,560 = 546,560/x
  3. Step 3: Cross multiply
    264,388x = 546,560 × 546,560
  4. Step 4: Simplify right side
    264,388x = 298,727,833,600
  5. Step 5: Solve for x
    x = 298,727,833,600/264,388
  6. Step 6: Final answer
    x = 1,129,884.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.