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Finding the Third Proportional to 364,612 and 559,686

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Solution

The third proportional to 364,612 and 559,686 is: 859,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,612 : 559,686 = 559,686 : x
  2. Step 2: Convert to fraction form
    364,612/559,686 = 559,686/x
  3. Step 3: Cross multiply
    364,612x = 559,686 × 559,686
  4. Step 4: Simplify right side
    364,612x = 313,248,418,596
  5. Step 5: Solve for x
    x = 313,248,418,596/364,612
  6. Step 6: Final answer
    x = 859,128.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.