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Finding the Third Proportional to 232,477.88 and 492,854.63

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Solution

The third proportional to 232,477.88 and 492,854.63 is: 1,044,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,477.88 : 492,854.63 = 492,854.63 : x
  2. Step 2: Convert to fraction form
    232,477.88/492,854.63 = 492,854.63/x
  3. Step 3: Cross multiply
    232,477.88x = 492,854.63 × 492,854.63
  4. Step 4: Simplify right side
    232,477.88x = 242,905,681,383.89
  5. Step 5: Solve for x
    x = 242,905,681,383.89/232,477.88
  6. Step 6: Final answer
    x = 1,044,855.05

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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.