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Finding the Third Proportional to 249,876 and 546,352

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Solution

The third proportional to 249,876 and 546,352 is: 1,194,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,876 : 546,352 = 546,352 : x
  2. Step 2: Convert to fraction form
    249,876/546,352 = 546,352/x
  3. Step 3: Cross multiply
    249,876x = 546,352 × 546,352
  4. Step 4: Simplify right side
    249,876x = 298,500,507,904
  5. Step 5: Solve for x
    x = 298,500,507,904/249,876
  6. Step 6: Final answer
    x = 1,194,594.55

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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.