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Finding the Third Proportional to 387,166.50 and 830,403.56

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Solution

The third proportional to 387,166.50 and 830,403.56 is: 1,781,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,166.50 : 830,403.56 = 830,403.56 : x
  2. Step 2: Convert to fraction form
    387,166.50/830,403.56 = 830,403.56/x
  3. Step 3: Cross multiply
    387,166.50x = 830,403.56 × 830,403.56
  4. Step 4: Simplify right side
    387,166.50x = 689,570,076,612.69
  5. Step 5: Solve for x
    x = 689,570,076,612.69/387,166.50
  6. Step 6: Final answer
    x = 1,781,068.55

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