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Finding the Third Proportional to 435,964 and 665,246.50

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Solution

The third proportional to 435,964 and 665,246.50 is: 1,015,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,964 : 665,246.50 = 665,246.50 : x
  2. Step 2: Convert to fraction form
    435,964/665,246.50 = 665,246.50/x
  3. Step 3: Cross multiply
    435,964x = 665,246.50 × 665,246.50
  4. Step 4: Simplify right side
    435,964x = 442,552,905,762.25
  5. Step 5: Solve for x
    x = 442,552,905,762.25/435,964
  6. Step 6: Final answer
    x = 1,015,113.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.