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Finding the Third Proportional to 264,428 and 542,938

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Solution

The third proportional to 264,428 and 542,938 is: 1,114,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428 : 542,938 = 542,938 : x
  2. Step 2: Convert to fraction form
    264,428/542,938 = 542,938/x
  3. Step 3: Cross multiply
    264,428x = 542,938 × 542,938
  4. Step 4: Simplify right side
    264,428x = 294,781,671,844
  5. Step 5: Solve for x
    x = 294,781,671,844/264,428
  6. Step 6: Final answer
    x = 1,114,789.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.