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Finding the Third Proportional to 365,942 and 571,044

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Solution

The third proportional to 365,942 and 571,044 is: 891,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,942 : 571,044 = 571,044 : x
  2. Step 2: Convert to fraction form
    365,942/571,044 = 571,044/x
  3. Step 3: Cross multiply
    365,942x = 571,044 × 571,044
  4. Step 4: Simplify right side
    365,942x = 326,091,249,936
  5. Step 5: Solve for x
    x = 326,091,249,936/365,942
  6. Step 6: Final answer
    x = 891,100.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.