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Finding the Third Proportional to 291,053 and 624,630

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Solution

The third proportional to 291,053 and 624,630 is: 1,340,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,053 : 624,630 = 624,630 : x
  2. Step 2: Convert to fraction form
    291,053/624,630 = 624,630/x
  3. Step 3: Cross multiply
    291,053x = 624,630 × 624,630
  4. Step 4: Simplify right side
    291,053x = 390,162,636,900
  5. Step 5: Solve for x
    x = 390,162,636,900/291,053
  6. Step 6: Final answer
    x = 1,340,520.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.