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Finding the Third Proportional to 252,305 and 537,310

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Solution

The third proportional to 252,305 and 537,310 is: 1,144,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,305 : 537,310 = 537,310 : x
  2. Step 2: Convert to fraction form
    252,305/537,310 = 537,310/x
  3. Step 3: Cross multiply
    252,305x = 537,310 × 537,310
  4. Step 4: Simplify right side
    252,305x = 288,702,036,100
  5. Step 5: Solve for x
    x = 288,702,036,100/252,305
  6. Step 6: Final answer
    x = 1,144,258.08

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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.