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Finding the Third Proportional to 300,643.50 and 462,306

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Solution

The third proportional to 300,643.50 and 462,306 is: 710,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,643.50 : 462,306 = 462,306 : x
  2. Step 2: Convert to fraction form
    300,643.50/462,306 = 462,306/x
  3. Step 3: Cross multiply
    300,643.50x = 462,306 × 462,306
  4. Step 4: Simplify right side
    300,643.50x = 213,726,837,636
  5. Step 5: Solve for x
    x = 213,726,837,636/300,643.50
  6. Step 6: Final answer
    x = 710,897.92

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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.