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Finding the Third Proportional to 350,072 and 712,986

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Solution

The third proportional to 350,072 and 712,986 is: 1,452,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,072 : 712,986 = 712,986 : x
  2. Step 2: Convert to fraction form
    350,072/712,986 = 712,986/x
  3. Step 3: Cross multiply
    350,072x = 712,986 × 712,986
  4. Step 4: Simplify right side
    350,072x = 508,349,036,196
  5. Step 5: Solve for x
    x = 508,349,036,196/350,072
  6. Step 6: Final answer
    x = 1,452,127.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.