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Finding the Third Proportional to 248,970 and 546,316

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Solution

The third proportional to 248,970 and 546,316 is: 1,198,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,970 : 546,316 = 546,316 : x
  2. Step 2: Convert to fraction form
    248,970/546,316 = 546,316/x
  3. Step 3: Cross multiply
    248,970x = 546,316 × 546,316
  4. Step 4: Simplify right side
    248,970x = 298,461,171,856
  5. Step 5: Solve for x
    x = 298,461,171,856/248,970
  6. Step 6: Final answer
    x = 1,198,783.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.