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Finding the Third Proportional to 301,363.50 and 455,931

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Solution

The third proportional to 301,363.50 and 455,931 is: 689,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,363.50 : 455,931 = 455,931 : x
  2. Step 2: Convert to fraction form
    301,363.50/455,931 = 455,931/x
  3. Step 3: Cross multiply
    301,363.50x = 455,931 × 455,931
  4. Step 4: Simplify right side
    301,363.50x = 207,873,076,761
  5. Step 5: Solve for x
    x = 207,873,076,761/301,363.50
  6. Step 6: Final answer
    x = 689,775.23

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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.