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Finding the Third Proportional to 362,313 and 492,006.66

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Solution

The third proportional to 362,313 and 492,006.66 is: 668,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,313 : 492,006.66 = 492,006.66 : x
  2. Step 2: Convert to fraction form
    362,313/492,006.66 = 492,006.66/x
  3. Step 3: Cross multiply
    362,313x = 492,006.66 × 492,006.66
  4. Step 4: Simplify right side
    362,313x = 242,070,549,794.31
  5. Step 5: Solve for x
    x = 242,070,549,794.31/362,313
  6. Step 6: Final answer
    x = 668,125.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.