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Finding the Third Proportional to 467,869.50 and 705,127.50

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Solution

The third proportional to 467,869.50 and 705,127.50 is: 1,062,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,869.50 : 705,127.50 = 705,127.50 : x
  2. Step 2: Convert to fraction form
    467,869.50/705,127.50 = 705,127.50/x
  3. Step 3: Cross multiply
    467,869.50x = 705,127.50 × 705,127.50
  4. Step 4: Simplify right side
    467,869.50x = 497,204,791,256.25
  5. Step 5: Solve for x
    x = 497,204,791,256.25/467,869.50
  6. Step 6: Final answer
    x = 1,062,699.73

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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.