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Finding the Third Proportional to 301,777.50 and 455,743.50

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Solution

The third proportional to 301,777.50 and 455,743.50 is: 688,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,777.50 : 455,743.50 = 455,743.50 : x
  2. Step 2: Convert to fraction form
    301,777.50/455,743.50 = 455,743.50/x
  3. Step 3: Cross multiply
    301,777.50x = 455,743.50 × 455,743.50
  4. Step 4: Simplify right side
    301,777.50x = 207,702,137,792.25
  5. Step 5: Solve for x
    x = 207,702,137,792.25/301,777.50
  6. Step 6: Final answer
    x = 688,262.50

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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.