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Finding the Third Proportional to 358,923.58 and 556,031.94

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Solution

The third proportional to 358,923.58 and 556,031.94 is: 861,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,923.58 : 556,031.94 = 556,031.94 : x
  2. Step 2: Convert to fraction form
    358,923.58/556,031.94 = 556,031.94/x
  3. Step 3: Cross multiply
    358,923.58x = 556,031.94 × 556,031.94
  4. Step 4: Simplify right side
    358,923.58x = 309,171,513,348.01
  5. Step 5: Solve for x
    x = 309,171,513,348.01/358,923.58
  6. Step 6: Final answer
    x = 861,385.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.