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Finding the Third Proportional to 513,119 and 804,913.50

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Solution

The third proportional to 513,119 and 804,913.50 is: 1,262,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,119 : 804,913.50 = 804,913.50 : x
  2. Step 2: Convert to fraction form
    513,119/804,913.50 = 804,913.50/x
  3. Step 3: Cross multiply
    513,119x = 804,913.50 × 804,913.50
  4. Step 4: Simplify right side
    513,119x = 647,885,742,482.25
  5. Step 5: Solve for x
    x = 647,885,742,482.25/513,119
  6. Step 6: Final answer
    x = 1,262,642.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.