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Finding the Third Proportional to 499,599 and 736,168.50

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Solution

The third proportional to 499,599 and 736,168.50 is: 1,084,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,599 : 736,168.50 = 736,168.50 : x
  2. Step 2: Convert to fraction form
    499,599/736,168.50 = 736,168.50/x
  3. Step 3: Cross multiply
    499,599x = 736,168.50 × 736,168.50
  4. Step 4: Simplify right side
    499,599x = 541,944,060,392.25
  5. Step 5: Solve for x
    x = 541,944,060,392.25/499,599
  6. Step 6: Final answer
    x = 1,084,758.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.