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Finding the Third Proportional to 484,852.50 and 767,363.63

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Solution

The third proportional to 484,852.50 and 767,363.63 is: 1,214,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,852.50 : 767,363.63 = 767,363.63 : x
  2. Step 2: Convert to fraction form
    484,852.50/767,363.63 = 767,363.63/x
  3. Step 3: Cross multiply
    484,852.50x = 767,363.63 × 767,363.63
  4. Step 4: Simplify right side
    484,852.50x = 588,846,932,973.14
  5. Step 5: Solve for x
    x = 588,846,932,973.14/484,852.50
  6. Step 6: Final answer
    x = 1,214,486.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.