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Finding the Third Proportional to 564,553 and 804,790.50

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Solution

The third proportional to 564,553 and 804,790.50 is: 1,147,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,553 : 804,790.50 = 804,790.50 : x
  2. Step 2: Convert to fraction form
    564,553/804,790.50 = 804,790.50/x
  3. Step 3: Cross multiply
    564,553x = 804,790.50 × 804,790.50
  4. Step 4: Simplify right side
    564,553x = 647,687,748,890.25
  5. Step 5: Solve for x
    x = 647,687,748,890.25/564,553
  6. Step 6: Final answer
    x = 1,147,257.65

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