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Finding the Third Proportional to 285,000 and 609,528

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Solution

The third proportional to 285,000 and 609,528 is: 1,303,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,000 : 609,528 = 609,528 : x
  2. Step 2: Convert to fraction form
    285,000/609,528 = 609,528/x
  3. Step 3: Cross multiply
    285,000x = 609,528 × 609,528
  4. Step 4: Simplify right side
    285,000x = 371,524,382,784
  5. Step 5: Solve for x
    x = 371,524,382,784/285,000
  6. Step 6: Final answer
    x = 1,303,594.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.