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Finding the Third Proportional to 252,792 and 536,688

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Solution

The third proportional to 252,792 and 536,688 is: 1,139,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,792 : 536,688 = 536,688 : x
  2. Step 2: Convert to fraction form
    252,792/536,688 = 536,688/x
  3. Step 3: Cross multiply
    252,792x = 536,688 × 536,688
  4. Step 4: Simplify right side
    252,792x = 288,034,009,344
  5. Step 5: Solve for x
    x = 288,034,009,344/252,792
  6. Step 6: Final answer
    x = 1,139,411.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.