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Finding the Third Proportional to 365,944 and 571,047

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Solution

The third proportional to 365,944 and 571,047 is: 891,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,944 : 571,047 = 571,047 : x
  2. Step 2: Convert to fraction form
    365,944/571,047 = 571,047/x
  3. Step 3: Cross multiply
    365,944x = 571,047 × 571,047
  4. Step 4: Simplify right side
    365,944x = 326,094,676,209
  5. Step 5: Solve for x
    x = 326,094,676,209/365,944
  6. Step 6: Final answer
    x = 891,105.40

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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.