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Finding the Third Proportional to 581,184 and 784,984.50

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Solution

The third proportional to 581,184 and 784,984.50 is: 1,060,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,184 : 784,984.50 = 784,984.50 : x
  2. Step 2: Convert to fraction form
    581,184/784,984.50 = 784,984.50/x
  3. Step 3: Cross multiply
    581,184x = 784,984.50 × 784,984.50
  4. Step 4: Simplify right side
    581,184x = 616,200,665,240.25
  5. Step 5: Solve for x
    x = 616,200,665,240.25/581,184
  6. Step 6: Final answer
    x = 1,060,250.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.