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Finding the Third Proportional to 252,457 and 544,280

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Solution

The third proportional to 252,457 and 544,280 is: 1,173,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,457 : 544,280 = 544,280 : x
  2. Step 2: Convert to fraction form
    252,457/544,280 = 544,280/x
  3. Step 3: Cross multiply
    252,457x = 544,280 × 544,280
  4. Step 4: Simplify right side
    252,457x = 296,240,718,400
  5. Step 5: Solve for x
    x = 296,240,718,400/252,457
  6. Step 6: Final answer
    x = 1,173,430.40

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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.