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Finding the Third Proportional to 542,454 and 817,641

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Solution

The third proportional to 542,454 and 817,641 is: 1,232,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,454 : 817,641 = 817,641 : x
  2. Step 2: Convert to fraction form
    542,454/817,641 = 817,641/x
  3. Step 3: Cross multiply
    542,454x = 817,641 × 817,641
  4. Step 4: Simplify right side
    542,454x = 668,536,804,881
  5. Step 5: Solve for x
    x = 668,536,804,881/542,454
  6. Step 6: Final answer
    x = 1,232,430.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.