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Finding the Third Proportional to 330,988.50 and 708,633

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Solution

The third proportional to 330,988.50 and 708,633 is: 1,517,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,988.50 : 708,633 = 708,633 : x
  2. Step 2: Convert to fraction form
    330,988.50/708,633 = 708,633/x
  3. Step 3: Cross multiply
    330,988.50x = 708,633 × 708,633
  4. Step 4: Simplify right side
    330,988.50x = 502,160,728,689
  5. Step 5: Solve for x
    x = 502,160,728,689/330,988.50
  6. Step 6: Final answer
    x = 1,517,154.61

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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.