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Finding the Third Proportional to 252,315 and 551,070

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Solution

The third proportional to 252,315 and 551,070 is: 1,203,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,315 : 551,070 = 551,070 : x
  2. Step 2: Convert to fraction form
    252,315/551,070 = 551,070/x
  3. Step 3: Cross multiply
    252,315x = 551,070 × 551,070
  4. Step 4: Simplify right side
    252,315x = 303,678,144,900
  5. Step 5: Solve for x
    x = 303,678,144,900/252,315
  6. Step 6: Final answer
    x = 1,203,567.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.