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Finding the Third Proportional to 285,862.50 and 609,714

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Solution

The third proportional to 285,862.50 and 609,714 is: 1,300,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,862.50 : 609,714 = 609,714 : x
  2. Step 2: Convert to fraction form
    285,862.50/609,714 = 609,714/x
  3. Step 3: Cross multiply
    285,862.50x = 609,714 × 609,714
  4. Step 4: Simplify right side
    285,862.50x = 371,751,161,796
  5. Step 5: Solve for x
    x = 371,751,161,796/285,862.50
  6. Step 6: Final answer
    x = 1,300,454.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.