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Finding the Third Proportional to 518,364 and 773,548.50

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Solution

The third proportional to 518,364 and 773,548.50 is: 1,154,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,364 : 773,548.50 = 773,548.50 : x
  2. Step 2: Convert to fraction form
    518,364/773,548.50 = 773,548.50/x
  3. Step 3: Cross multiply
    518,364x = 773,548.50 × 773,548.50
  4. Step 4: Simplify right side
    518,364x = 598,377,281,852.25
  5. Step 5: Solve for x
    x = 598,377,281,852.25/518,364
  6. Step 6: Final answer
    x = 1,154,357.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.