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Finding the Third Proportional to 285,666 and 545,412

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Solution

The third proportional to 285,666 and 545,412 is: 1,041,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,666 : 545,412 = 545,412 : x
  2. Step 2: Convert to fraction form
    285,666/545,412 = 545,412/x
  3. Step 3: Cross multiply
    285,666x = 545,412 × 545,412
  4. Step 4: Simplify right side
    285,666x = 297,474,249,744
  5. Step 5: Solve for x
    x = 297,474,249,744/285,666
  6. Step 6: Final answer
    x = 1,041,335.86

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.