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Finding the Third Proportional to 334,864.13 and 487,513.69

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Solution

The third proportional to 334,864.13 and 487,513.69 is: 709,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,864.13 : 487,513.69 = 487,513.69 : x
  2. Step 2: Convert to fraction form
    334,864.13/487,513.69 = 487,513.69/x
  3. Step 3: Cross multiply
    334,864.13x = 487,513.69 × 487,513.69
  4. Step 4: Simplify right side
    334,864.13x = 237,669,595,499.85
  5. Step 5: Solve for x
    x = 237,669,595,499.85/334,864.13
  6. Step 6: Final answer
    x = 709,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.