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Finding the Third Proportional to 804,465 and 1,180,399.50

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Solution

The third proportional to 804,465 and 1,180,399.50 is: 1,732,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,465 : 1,180,399.50 = 1,180,399.50 : x
  2. Step 2: Convert to fraction form
    804,465/1,180,399.50 = 1,180,399.50/x
  3. Step 3: Cross multiply
    804,465x = 1,180,399.50 × 1,180,399.50
  4. Step 4: Simplify right side
    804,465x = 1,393,342,979,600.25
  5. Step 5: Solve for x
    x = 1,393,342,979,600.25/804,465
  6. Step 6: Final answer
    x = 1,732,011.93

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Why These Related Problems?

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