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Finding the Third Proportional to 610,267.50 and 1,329,024

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Solution

The third proportional to 610,267.50 and 1,329,024 is: 2,894,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,267.50 : 1,329,024 = 1,329,024 : x
  2. Step 2: Convert to fraction form
    610,267.50/1,329,024 = 1,329,024/x
  3. Step 3: Cross multiply
    610,267.50x = 1,329,024 × 1,329,024
  4. Step 4: Simplify right side
    610,267.50x = 1,766,304,792,576
  5. Step 5: Solve for x
    x = 1,766,304,792,576/610,267.50
  6. Step 6: Final answer
    x = 2,894,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.