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Finding the Third Proportional to 369,688.50 and 756,859.50

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Solution

The third proportional to 369,688.50 and 756,859.50 is: 1,549,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,688.50 : 756,859.50 = 756,859.50 : x
  2. Step 2: Convert to fraction form
    369,688.50/756,859.50 = 756,859.50/x
  3. Step 3: Cross multiply
    369,688.50x = 756,859.50 × 756,859.50
  4. Step 4: Simplify right side
    369,688.50x = 572,836,302,740.25
  5. Step 5: Solve for x
    x = 572,836,302,740.25/369,688.50
  6. Step 6: Final answer
    x = 1,549,510.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.