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Finding the Third Proportional to 377,472.34 and 571,703.06

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Solution

The third proportional to 377,472.34 and 571,703.06 is: 865,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,472.34 : 571,703.06 = 571,703.06 : x
  2. Step 2: Convert to fraction form
    377,472.34/571,703.06 = 571,703.06/x
  3. Step 3: Cross multiply
    377,472.34x = 571,703.06 × 571,703.06
  4. Step 4: Simplify right side
    377,472.34x = 326,844,391,671.88
  5. Step 5: Solve for x
    x = 326,844,391,671.88/377,472.34
  6. Step 6: Final answer
    x = 865,876.40

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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.