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Finding the Third Proportional to 346,690.13 and 720,595.13

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Solution

The third proportional to 346,690.13 and 720,595.13 is: 1,497,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,690.13 : 720,595.13 = 720,595.13 : x
  2. Step 2: Convert to fraction form
    346,690.13/720,595.13 = 720,595.13/x
  3. Step 3: Cross multiply
    346,690.13x = 720,595.13 × 720,595.13
  4. Step 4: Simplify right side
    346,690.13x = 519,257,334,173.77
  5. Step 5: Solve for x
    x = 519,257,334,173.77/346,690.13
  6. Step 6: Final answer
    x = 1,497,756.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.