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Finding the Third Proportional to 624,354.33 and 1,337,282.16

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Solution

The third proportional to 624,354.33 and 1,337,282.16 is: 2,864,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,354.33 : 1,337,282.16 = 1,337,282.16 : x
  2. Step 2: Convert to fraction form
    624,354.33/1,337,282.16 = 1,337,282.16/x
  3. Step 3: Cross multiply
    624,354.33x = 1,337,282.16 × 1,337,282.16
  4. Step 4: Simplify right side
    624,354.33x = 1,788,323,565,424.65
  5. Step 5: Solve for x
    x = 1,788,323,565,424.65/624,354.33
  6. Step 6: Final answer
    x = 2,864,276.72

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Why These Related Problems?

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