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Finding the Third Proportional to 617,314.50 and 819,315

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Solution

The third proportional to 617,314.50 and 819,315 is: 1,087,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,314.50 : 819,315 = 819,315 : x
  2. Step 2: Convert to fraction form
    617,314.50/819,315 = 819,315/x
  3. Step 3: Cross multiply
    617,314.50x = 819,315 × 819,315
  4. Step 4: Simplify right side
    617,314.50x = 671,277,069,225
  5. Step 5: Solve for x
    x = 671,277,069,225/617,314.50
  6. Step 6: Final answer
    x = 1,087,415.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.