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Finding the Third Proportional to 517,155 and 803,596.50

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Solution

The third proportional to 517,155 and 803,596.50 is: 1,248,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,155 : 803,596.50 = 803,596.50 : x
  2. Step 2: Convert to fraction form
    517,155/803,596.50 = 803,596.50/x
  3. Step 3: Cross multiply
    517,155x = 803,596.50 × 803,596.50
  4. Step 4: Simplify right side
    517,155x = 645,767,334,812.25
  5. Step 5: Solve for x
    x = 645,767,334,812.25/517,155
  6. Step 6: Final answer
    x = 1,248,692.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.