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Finding the Third Proportional to 455,679 and 732,118.50

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Solution

The third proportional to 455,679 and 732,118.50 is: 1,176,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,679 : 732,118.50 = 732,118.50 : x
  2. Step 2: Convert to fraction form
    455,679/732,118.50 = 732,118.50/x
  3. Step 3: Cross multiply
    455,679x = 732,118.50 × 732,118.50
  4. Step 4: Simplify right side
    455,679x = 535,997,498,042.25
  5. Step 5: Solve for x
    x = 535,997,498,042.25/455,679
  6. Step 6: Final answer
    x = 1,176,261.14

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.