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Finding the Third Proportional to 370,200 and 559,854

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Solution

The third proportional to 370,200 and 559,854 is: 846,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,200 : 559,854 = 559,854 : x
  2. Step 2: Convert to fraction form
    370,200/559,854 = 559,854/x
  3. Step 3: Cross multiply
    370,200x = 559,854 × 559,854
  4. Step 4: Simplify right side
    370,200x = 313,436,501,316
  5. Step 5: Solve for x
    x = 313,436,501,316/370,200
  6. Step 6: Final answer
    x = 846,668.02

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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.