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Finding the Third Proportional to 348,589.13 and 739,031.63

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Solution

The third proportional to 348,589.13 and 739,031.63 is: 1,566,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,589.13 : 739,031.63 = 739,031.63 : x
  2. Step 2: Convert to fraction form
    348,589.13/739,031.63 = 739,031.63/x
  3. Step 3: Cross multiply
    348,589.13x = 739,031.63 × 739,031.63
  4. Step 4: Simplify right side
    348,589.13x = 546,167,742,750.14
  5. Step 5: Solve for x
    x = 546,167,742,750.14/348,589.13
  6. Step 6: Final answer
    x = 1,566,795.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.