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Finding the Third Proportional to 490,076 and 735,314

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Solution

The third proportional to 490,076 and 735,314 is: 1,103,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,076 : 735,314 = 735,314 : x
  2. Step 2: Convert to fraction form
    490,076/735,314 = 735,314/x
  3. Step 3: Cross multiply
    490,076x = 735,314 × 735,314
  4. Step 4: Simplify right side
    490,076x = 540,686,678,596
  5. Step 5: Solve for x
    x = 540,686,678,596/490,076
  6. Step 6: Final answer
    x = 1,103,271.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.