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Finding the Third Proportional to 387,205.50 and 830,460

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Solution

The third proportional to 387,205.50 and 830,460 is: 1,781,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,205.50 : 830,460 = 830,460 : x
  2. Step 2: Convert to fraction form
    387,205.50/830,460 = 830,460/x
  3. Step 3: Cross multiply
    387,205.50x = 830,460 × 830,460
  4. Step 4: Simplify right side
    387,205.50x = 689,663,811,600
  5. Step 5: Solve for x
    x = 689,663,811,600/387,205.50
  6. Step 6: Final answer
    x = 1,781,131.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.