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Finding the Third Proportional to 377,312 and 569,498

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Solution

The third proportional to 377,312 and 569,498 is: 859,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,312 : 569,498 = 569,498 : x
  2. Step 2: Convert to fraction form
    377,312/569,498 = 569,498/x
  3. Step 3: Cross multiply
    377,312x = 569,498 × 569,498
  4. Step 4: Simplify right side
    377,312x = 324,327,972,004
  5. Step 5: Solve for x
    x = 324,327,972,004/377,312
  6. Step 6: Final answer
    x = 859,575.03

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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.