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Finding the Third Proportional to 690,235.50 and 1,476,429

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Solution

The third proportional to 690,235.50 and 1,476,429 is: 3,158,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,235.50 : 1,476,429 = 1,476,429 : x
  2. Step 2: Convert to fraction form
    690,235.50/1,476,429 = 1,476,429/x
  3. Step 3: Cross multiply
    690,235.50x = 1,476,429 × 1,476,429
  4. Step 4: Simplify right side
    690,235.50x = 2,179,842,592,041
  5. Step 5: Solve for x
    x = 2,179,842,592,041/690,235.50
  6. Step 6: Final answer
    x = 3,158,114.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.