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Finding the Third Proportional to 341,605.69 and 542,821.50

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Solution

The third proportional to 341,605.69 and 542,821.50 is: 862,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,605.69 : 542,821.50 = 542,821.50 : x
  2. Step 2: Convert to fraction form
    341,605.69/542,821.50 = 542,821.50/x
  3. Step 3: Cross multiply
    341,605.69x = 542,821.50 × 542,821.50
  4. Step 4: Simplify right side
    341,605.69x = 294,655,180,862.25
  5. Step 5: Solve for x
    x = 294,655,180,862.25/341,605.69
  6. Step 6: Final answer
    x = 862,559.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.