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Finding the Third Proportional to 252,672 and 531,552

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Solution

The third proportional to 252,672 and 531,552 is: 1,118,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,672 : 531,552 = 531,552 : x
  2. Step 2: Convert to fraction form
    252,672/531,552 = 531,552/x
  3. Step 3: Cross multiply
    252,672x = 531,552 × 531,552
  4. Step 4: Simplify right side
    252,672x = 282,547,528,704
  5. Step 5: Solve for x
    x = 282,547,528,704/252,672
  6. Step 6: Final answer
    x = 1,118,238.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.