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Finding the Third Proportional to 341,592 and 542,913

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Solution

The third proportional to 341,592 and 542,913 is: 862,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,592 : 542,913 = 542,913 : x
  2. Step 2: Convert to fraction form
    341,592/542,913 = 542,913/x
  3. Step 3: Cross multiply
    341,592x = 542,913 × 542,913
  4. Step 4: Simplify right side
    341,592x = 294,754,525,569
  5. Step 5: Solve for x
    x = 294,754,525,569/341,592
  6. Step 6: Final answer
    x = 862,884.74

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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.