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Finding the Third Proportional to 212,748 and 460,440

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Solution

The third proportional to 212,748 and 460,440 is: 996,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,748 : 460,440 = 460,440 : x
  2. Step 2: Convert to fraction form
    212,748/460,440 = 460,440/x
  3. Step 3: Cross multiply
    212,748x = 460,440 × 460,440
  4. Step 4: Simplify right side
    212,748x = 212,004,993,600
  5. Step 5: Solve for x
    x = 212,004,993,600/212,748
  6. Step 6: Final answer
    x = 996,507.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.