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Finding the Third Proportional to 475,824 and 683,926.50

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Solution

The third proportional to 475,824 and 683,926.50 is: 983,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,824 : 683,926.50 = 683,926.50 : x
  2. Step 2: Convert to fraction form
    475,824/683,926.50 = 683,926.50/x
  3. Step 3: Cross multiply
    475,824x = 683,926.50 × 683,926.50
  4. Step 4: Simplify right side
    475,824x = 467,755,457,402.25
  5. Step 5: Solve for x
    x = 467,755,457,402.25/475,824
  6. Step 6: Final answer
    x = 983,043.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.