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Finding the Third Proportional to 377,458.69 and 571,685.06

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Solution

The third proportional to 377,458.69 and 571,685.06 is: 865,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,458.69 : 571,685.06 = 571,685.06 : x
  2. Step 2: Convert to fraction form
    377,458.69/571,685.06 = 571,685.06/x
  3. Step 3: Cross multiply
    377,458.69x = 571,685.06 × 571,685.06
  4. Step 4: Simplify right side
    377,458.69x = 326,823,810,685.63
  5. Step 5: Solve for x
    x = 326,823,810,685.63/377,458.69
  6. Step 6: Final answer
    x = 865,853.20

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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.