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Finding the Third Proportional to 342,069 and 536,602.13

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Solution

The third proportional to 342,069 and 536,602.13 is: 841,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,069 : 536,602.13 = 536,602.13 : x
  2. Step 2: Convert to fraction form
    342,069/536,602.13 = 536,602.13/x
  3. Step 3: Cross multiply
    342,069x = 536,602.13 × 536,602.13
  4. Step 4: Simplify right side
    342,069x = 287,941,840,554.52
  5. Step 5: Solve for x
    x = 287,941,840,554.52/342,069
  6. Step 6: Final answer
    x = 841,765.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.