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Finding the Third Proportional to 369,903.50 and 808,297

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Solution

The third proportional to 369,903.50 and 808,297 is: 1,766,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,903.50 : 808,297 = 808,297 : x
  2. Step 2: Convert to fraction form
    369,903.50/808,297 = 808,297/x
  3. Step 3: Cross multiply
    369,903.50x = 808,297 × 808,297
  4. Step 4: Simplify right side
    369,903.50x = 653,344,040,209
  5. Step 5: Solve for x
    x = 653,344,040,209/369,903.50
  6. Step 6: Final answer
    x = 1,766,255.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.