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Finding the Third Proportional to 232,400.50 and 492,705.50

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Solution

The third proportional to 232,400.50 and 492,705.50 is: 1,044,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,400.50 : 492,705.50 = 492,705.50 : x
  2. Step 2: Convert to fraction form
    232,400.50/492,705.50 = 492,705.50/x
  3. Step 3: Cross multiply
    232,400.50x = 492,705.50 × 492,705.50
  4. Step 4: Simplify right side
    232,400.50x = 242,758,709,730.25
  5. Step 5: Solve for x
    x = 242,758,709,730.25/232,400.50
  6. Step 6: Final answer
    x = 1,044,570.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.