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Finding the Third Proportional to 340,040 and 704,648

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Solution

The third proportional to 340,040 and 704,648 is: 1,460,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,040 : 704,648 = 704,648 : x
  2. Step 2: Convert to fraction form
    340,040/704,648 = 704,648/x
  3. Step 3: Cross multiply
    340,040x = 704,648 × 704,648
  4. Step 4: Simplify right side
    340,040x = 496,528,803,904
  5. Step 5: Solve for x
    x = 496,528,803,904/340,040
  6. Step 6: Final answer
    x = 1,460,207.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.