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Finding the Third Proportional to 365,937 and 571,038

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Solution

The third proportional to 365,937 and 571,038 is: 891,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,937 : 571,038 = 571,038 : x
  2. Step 2: Convert to fraction form
    365,937/571,038 = 571,038/x
  3. Step 3: Cross multiply
    365,937x = 571,038 × 571,038
  4. Step 4: Simplify right side
    365,937x = 326,084,397,444
  5. Step 5: Solve for x
    x = 326,084,397,444/365,937
  6. Step 6: Final answer
    x = 891,094.36

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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.