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Finding the Third Proportional to 754,458.75 and 1,141,438.50

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Solution

The third proportional to 754,458.75 and 1,141,438.50 is: 1,726,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,458.75 : 1,141,438.50 = 1,141,438.50 : x
  2. Step 2: Convert to fraction form
    754,458.75/1,141,438.50 = 1,141,438.50/x
  3. Step 3: Cross multiply
    754,458.75x = 1,141,438.50 × 1,141,438.50
  4. Step 4: Simplify right side
    754,458.75x = 1,302,881,849,282.25
  5. Step 5: Solve for x
    x = 1,302,881,849,282.25/754,458.75
  6. Step 6: Final answer
    x = 1,726,909.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.