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Finding the Third Proportional to 564,457.50 and 804,645

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Solution

The third proportional to 564,457.50 and 804,645 is: 1,147,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,457.50 : 804,645 = 804,645 : x
  2. Step 2: Convert to fraction form
    564,457.50/804,645 = 804,645/x
  3. Step 3: Cross multiply
    564,457.50x = 804,645 × 804,645
  4. Step 4: Simplify right side
    564,457.50x = 647,453,576,025
  5. Step 5: Solve for x
    x = 647,453,576,025/564,457.50
  6. Step 6: Final answer
    x = 1,147,036.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.