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Finding the Third Proportional to 484,410 and 756,048.50

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Solution

The third proportional to 484,410 and 756,048.50 is: 1,180,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,410 : 756,048.50 = 756,048.50 : x
  2. Step 2: Convert to fraction form
    484,410/756,048.50 = 756,048.50/x
  3. Step 3: Cross multiply
    484,410x = 756,048.50 × 756,048.50
  4. Step 4: Simplify right side
    484,410x = 571,609,334,352.25
  5. Step 5: Solve for x
    x = 571,609,334,352.25/484,410
  6. Step 6: Final answer
    x = 1,180,011.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.