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Finding the Third Proportional to 300,106.50 and 708,429

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Solution

The third proportional to 300,106.50 and 708,429 is: 1,672,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,106.50 : 708,429 = 708,429 : x
  2. Step 2: Convert to fraction form
    300,106.50/708,429 = 708,429/x
  3. Step 3: Cross multiply
    300,106.50x = 708,429 × 708,429
  4. Step 4: Simplify right side
    300,106.50x = 501,871,648,041
  5. Step 5: Solve for x
    x = 501,871,648,041/300,106.50
  6. Step 6: Final answer
    x = 1,672,311.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.