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Finding the Third Proportional to 258,346.13 and 377,312.63

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Solution

The third proportional to 258,346.13 and 377,312.63 is: 551,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,346.13 : 377,312.63 = 377,312.63 : x
  2. Step 2: Convert to fraction form
    258,346.13/377,312.63 = 377,312.63/x
  3. Step 3: Cross multiply
    258,346.13x = 377,312.63 × 377,312.63
  4. Step 4: Simplify right side
    258,346.13x = 142,364,816,984.39
  5. Step 5: Solve for x
    x = 142,364,816,984.39/258,346.13
  6. Step 6: Final answer
    x = 551,062.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.