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Finding the Third Proportional to 349,948 and 542,906

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Solution

The third proportional to 349,948 and 542,906 is: 842,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,948 : 542,906 = 542,906 : x
  2. Step 2: Convert to fraction form
    349,948/542,906 = 542,906/x
  3. Step 3: Cross multiply
    349,948x = 542,906 × 542,906
  4. Step 4: Simplify right side
    349,948x = 294,746,924,836
  5. Step 5: Solve for x
    x = 294,746,924,836/349,948
  6. Step 6: Final answer
    x = 842,259.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.