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Finding the Third Proportional to 551,271 and 830,133

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Solution

The third proportional to 551,271 and 830,133 is: 1,250,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,271 : 830,133 = 830,133 : x
  2. Step 2: Convert to fraction form
    551,271/830,133 = 830,133/x
  3. Step 3: Cross multiply
    551,271x = 830,133 × 830,133
  4. Step 4: Simplify right side
    551,271x = 689,120,797,689
  5. Step 5: Solve for x
    x = 689,120,797,689/551,271
  6. Step 6: Final answer
    x = 1,250,058.13

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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.