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Finding the Third Proportional to 358,924.75 and 556,032.50

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Solution

The third proportional to 358,924.75 and 556,032.50 is: 861,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,924.75 : 556,032.50 = 556,032.50 : x
  2. Step 2: Convert to fraction form
    358,924.75/556,032.50 = 556,032.50/x
  3. Step 3: Cross multiply
    358,924.75x = 556,032.50 × 556,032.50
  4. Step 4: Simplify right side
    358,924.75x = 309,172,141,056.25
  5. Step 5: Solve for x
    x = 309,172,141,056.25/358,924.75
  6. Step 6: Final answer
    x = 861,384.29

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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.