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Finding the Third Proportional to 377,582 and 571,858

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Solution

The third proportional to 377,582 and 571,858 is: 866,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,582 : 571,858 = 571,858 : x
  2. Step 2: Convert to fraction form
    377,582/571,858 = 571,858/x
  3. Step 3: Cross multiply
    377,582x = 571,858 × 571,858
  4. Step 4: Simplify right side
    377,582x = 327,021,572,164
  5. Step 5: Solve for x
    x = 327,021,572,164/377,582
  6. Step 6: Final answer
    x = 866,094.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.