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Finding the Third Proportional to 301,714.50 and 651,283.50

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Solution

The third proportional to 301,714.50 and 651,283.50 is: 1,405,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.50 : 651,283.50 = 651,283.50 : x
  2. Step 2: Convert to fraction form
    301,714.50/651,283.50 = 651,283.50/x
  3. Step 3: Cross multiply
    301,714.50x = 651,283.50 × 651,283.50
  4. Step 4: Simplify right side
    301,714.50x = 424,170,197,372.25
  5. Step 5: Solve for x
    x = 424,170,197,372.25/301,714.50
  6. Step 6: Final answer
    x = 1,405,866.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.