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Finding the Third Proportional to 551,142 and 780,079.50

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Solution

The third proportional to 551,142 and 780,079.50 is: 1,104,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,142 : 780,079.50 = 780,079.50 : x
  2. Step 2: Convert to fraction form
    551,142/780,079.50 = 780,079.50/x
  3. Step 3: Cross multiply
    551,142x = 780,079.50 × 780,079.50
  4. Step 4: Simplify right side
    551,142x = 608,524,026,320.25
  5. Step 5: Solve for x
    x = 608,524,026,320.25/551,142
  6. Step 6: Final answer
    x = 1,104,114.78

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.