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Finding the Third Proportional to 282,604 and 426,786

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Solution

The third proportional to 282,604 and 426,786 is: 644,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,604 : 426,786 = 426,786 : x
  2. Step 2: Convert to fraction form
    282,604/426,786 = 426,786/x
  3. Step 3: Cross multiply
    282,604x = 426,786 × 426,786
  4. Step 4: Simplify right side
    282,604x = 182,146,289,796
  5. Step 5: Solve for x
    x = 182,146,289,796/282,604
  6. Step 6: Final answer
    x = 644,528.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.