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Finding the Third Proportional to 564,784.50 and 860,415

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Solution

The third proportional to 564,784.50 and 860,415 is: 1,310,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,784.50 : 860,415 = 860,415 : x
  2. Step 2: Convert to fraction form
    564,784.50/860,415 = 860,415/x
  3. Step 3: Cross multiply
    564,784.50x = 860,415 × 860,415
  4. Step 4: Simplify right side
    564,784.50x = 740,313,972,225
  5. Step 5: Solve for x
    x = 740,313,972,225/564,784.50
  6. Step 6: Final answer
    x = 1,310,790.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.